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Finding the Fourth Proportional to 409,877.10, 614,815.65 and 232,730.10

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Solution

The fourth proportional to 409,877.10, 614,815.65 and 232,730.10 is: 349,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,877.10 : 614,815.65 = 232,730.10 : x
  2. Step 2: Convert to fraction form
    409,877.10/614,815.65 = 232,730.10/x
  3. Step 3: Cross multiply
    409,877.10x = 614,815.65 × 232,730.10
  4. Step 4: Simplify right side
    409,877.10x = 143,086,107,706.07
  5. Step 5: Solve for x
    x = 143,086,107,706.07/409,877.10
  6. Step 6: Final answer
    x = 349,095.15

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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.