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Finding the Fourth Proportional to 465,059.40, 697,589.10 and 433,566.60

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Solution

The fourth proportional to 465,059.40, 697,589.10 and 433,566.60 is: 650,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,059.40 : 697,589.10 = 433,566.60 : x
  2. Step 2: Convert to fraction form
    465,059.40/697,589.10 = 433,566.60/x
  3. Step 3: Cross multiply
    465,059.40x = 697,589.10 × 433,566.60
  4. Step 4: Simplify right side
    465,059.40x = 302,451,334,284.06
  5. Step 5: Solve for x
    x = 302,451,334,284.06/465,059.40
  6. Step 6: Final answer
    x = 650,349.90

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.