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Finding the Fourth Proportional to 291,646.47, 402,484.55 and 162,584.92

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Solution

The fourth proportional to 291,646.47, 402,484.55 and 162,584.92 is: 224,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,646.47 : 402,484.55 = 162,584.92 : x
  2. Step 2: Convert to fraction form
    291,646.47/402,484.55 = 162,584.92/x
  3. Step 3: Cross multiply
    291,646.47x = 402,484.55 × 162,584.92
  4. Step 4: Simplify right side
    291,646.47x = 65,437,918,053.17
  5. Step 5: Solve for x
    x = 65,437,918,053.17/291,646.47
  6. Step 6: Final answer
    x = 224,374.11

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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.