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Finding the Fourth Proportional to 652,220.80, 978,331.20 and 416,024.80

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Solution

The fourth proportional to 652,220.80, 978,331.20 and 416,024.80 is: 624,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,220.80 : 978,331.20 = 416,024.80 : x
  2. Step 2: Convert to fraction form
    652,220.80/978,331.20 = 416,024.80/x
  3. Step 3: Cross multiply
    652,220.80x = 978,331.20 × 416,024.80
  4. Step 4: Simplify right side
    652,220.80x = 407,010,041,813.76
  5. Step 5: Solve for x
    x = 407,010,041,813.76/652,220.80
  6. Step 6: Final answer
    x = 624,037.20

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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.