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Finding the Fourth Proportional to 360,916.98, 541,373.04 and 282,097.50

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Solution

The fourth proportional to 360,916.98, 541,373.04 and 282,097.50 is: 423,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,916.98 : 541,373.04 = 282,097.50 : x
  2. Step 2: Convert to fraction form
    360,916.98/541,373.04 = 282,097.50/x
  3. Step 3: Cross multiply
    360,916.98x = 541,373.04 × 282,097.50
  4. Step 4: Simplify right side
    360,916.98x = 152,719,981,151.40
  5. Step 5: Solve for x
    x = 152,719,981,151.40/360,916.98
  6. Step 6: Final answer
    x = 423,144.35

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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.