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Finding the Fourth Proportional to 517,947.36, 714,780.72 and 291,600.96

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Solution

The fourth proportional to 517,947.36, 714,780.72 and 291,600.96 is: 402,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,947.36 : 714,780.72 = 291,600.96 : x
  2. Step 2: Convert to fraction form
    517,947.36/714,780.72 = 291,600.96/x
  3. Step 3: Cross multiply
    517,947.36x = 714,780.72 × 291,600.96
  4. Step 4: Simplify right side
    517,947.36x = 208,430,744,141.49
  5. Step 5: Solve for x
    x = 208,430,744,141.49/517,947.36
  6. Step 6: Final answer
    x = 402,416.85

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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.