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Finding the Fourth Proportional to 465,057.40, 697,586.10 and 433,564.60

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Solution

The fourth proportional to 465,057.40, 697,586.10 and 433,564.60 is: 650,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,057.40 : 697,586.10 = 433,564.60 : x
  2. Step 2: Convert to fraction form
    465,057.40/697,586.10 = 433,564.60/x
  3. Step 3: Cross multiply
    465,057.40x = 697,586.10 × 433,564.60
  4. Step 4: Simplify right side
    465,057.40x = 302,448,638,412.06
  5. Step 5: Solve for x
    x = 302,448,638,412.06/465,057.40
  6. Step 6: Final answer
    x = 650,346.90

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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.