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Finding the Fourth Proportional to 501,564.60, 751,472.06 and 417,862.44

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Solution

The fourth proportional to 501,564.60, 751,472.06 and 417,862.44 is: 626,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,564.60 : 751,472.06 = 417,862.44 : x
  2. Step 2: Convert to fraction form
    501,564.60/751,472.06 = 417,862.44/x
  3. Step 3: Cross multiply
    501,564.60x = 751,472.06 × 417,862.44
  4. Step 4: Simplify right side
    501,564.60x = 314,011,948,583.43
  5. Step 5: Solve for x
    x = 314,011,948,583.43/501,564.60
  6. Step 6: Final answer
    x = 626,064.82

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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.