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Finding the Fourth Proportional to 522,503.50, 785,526.92 and 417,232.26

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Solution

The fourth proportional to 522,503.50, 785,526.92 and 417,232.26 is: 627,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,503.50 : 785,526.92 = 417,232.26 : x
  2. Step 2: Convert to fraction form
    522,503.50/785,526.92 = 417,232.26/x
  3. Step 3: Cross multiply
    522,503.50x = 785,526.92 × 417,232.26
  4. Step 4: Simplify right side
    522,503.50x = 327,747,172,122.44
  5. Step 5: Solve for x
    x = 327,747,172,122.44/522,503.50
  6. Step 6: Final answer
    x = 627,263.11

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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.