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Finding the Fourth Proportional to 476,443.29, 714,513.21 and 156,520.89

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Solution

The fourth proportional to 476,443.29, 714,513.21 and 156,520.89 is: 234,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,443.29 : 714,513.21 = 156,520.89 : x
  2. Step 2: Convert to fraction form
    476,443.29/714,513.21 = 156,520.89/x
  3. Step 3: Cross multiply
    476,443.29x = 714,513.21 × 156,520.89
  4. Step 4: Simplify right side
    476,443.29x = 111,836,243,545.96
  5. Step 5: Solve for x
    x = 111,836,243,545.96/476,443.29
  6. Step 6: Final answer
    x = 234,731.49

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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.