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Finding the Fourth Proportional to 495,451.68, 683,719.56 and 269,098.80

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Solution

The fourth proportional to 495,451.68, 683,719.56 and 269,098.80 is: 371,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,451.68 : 683,719.56 = 269,098.80 : x
  2. Step 2: Convert to fraction form
    495,451.68/683,719.56 = 269,098.80/x
  3. Step 3: Cross multiply
    495,451.68x = 683,719.56 × 269,098.80
  4. Step 4: Simplify right side
    495,451.68x = 183,988,113,132.53
  5. Step 5: Solve for x
    x = 183,988,113,132.53/495,451.68
  6. Step 6: Final answer
    x = 371,354.30

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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.