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Finding the Fourth Proportional to 509,017.68, 762,862.32 and 284,369.04

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Solution

The fourth proportional to 509,017.68, 762,862.32 and 284,369.04 is: 426,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,017.68 : 762,862.32 = 284,369.04 : x
  2. Step 2: Convert to fraction form
    509,017.68/762,862.32 = 284,369.04/x
  3. Step 3: Cross multiply
    509,017.68x = 762,862.32 × 284,369.04
  4. Step 4: Simplify right side
    509,017.68x = 216,934,425,590.57
  5. Step 5: Solve for x
    x = 216,934,425,590.57/509,017.68
  6. Step 6: Final answer
    x = 426,182.50

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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.