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Finding the Fourth Proportional to 736,761.76, 1,016,729.60 and 414,472

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Solution

The fourth proportional to 736,761.76, 1,016,729.60 and 414,472 is: 571,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,761.76 : 1,016,729.60 = 414,472 : x
  2. Step 2: Convert to fraction form
    736,761.76/1,016,729.60 = 414,472/x
  3. Step 3: Cross multiply
    736,761.76x = 1,016,729.60 × 414,472
  4. Step 4: Simplify right side
    736,761.76x = 421,405,950,771.20
  5. Step 5: Solve for x
    x = 421,405,950,771.20/736,761.76
  6. Step 6: Final answer
    x = 571,970.44

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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.