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Finding the Fourth Proportional to 650,101.40, 975,152.10 and 414,488.60

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Solution

The fourth proportional to 650,101.40, 975,152.10 and 414,488.60 is: 621,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,101.40 : 975,152.10 = 414,488.60 : x
  2. Step 2: Convert to fraction form
    650,101.40/975,152.10 = 414,488.60/x
  3. Step 3: Cross multiply
    650,101.40x = 975,152.10 × 414,488.60
  4. Step 4: Simplify right side
    650,101.40x = 404,189,428,716.06
  5. Step 5: Solve for x
    x = 404,189,428,716.06/650,101.40
  6. Step 6: Final answer
    x = 621,732.90

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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.