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Finding the Fourth Proportional to 729,507.40, 1,006,737.22 and 457,586.75

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Solution

The fourth proportional to 729,507.40, 1,006,737.22 and 457,586.75 is: 631,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,507.40 : 1,006,737.22 = 457,586.75 : x
  2. Step 2: Convert to fraction form
    729,507.40/1,006,737.22 = 457,586.75/x
  3. Step 3: Cross multiply
    729,507.40x = 1,006,737.22 × 457,586.75
  4. Step 4: Simplify right side
    729,507.40x = 460,669,615,692.66
  5. Step 5: Solve for x
    x = 460,669,615,692.66/729,507.40
  6. Step 6: Final answer
    x = 631,480.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.