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Finding the Fourth Proportional to 412,046.72, 618,070.08 and 224,956.16

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Solution

The fourth proportional to 412,046.72, 618,070.08 and 224,956.16 is: 337,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,046.72 : 618,070.08 = 224,956.16 : x
  2. Step 2: Convert to fraction form
    412,046.72/618,070.08 = 224,956.16/x
  3. Step 3: Cross multiply
    412,046.72x = 618,070.08 × 224,956.16
  4. Step 4: Simplify right side
    412,046.72x = 139,038,671,807.69
  5. Step 5: Solve for x
    x = 139,038,671,807.69/412,046.72
  6. Step 6: Final answer
    x = 337,434.24

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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.