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Finding the Fourth Proportional to 513,841.83, 709,042.56 and 296,082.24

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Solution

The fourth proportional to 513,841.83, 709,042.56 and 296,082.24 is: 408,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,841.83 : 709,042.56 = 296,082.24 : x
  2. Step 2: Convert to fraction form
    513,841.83/709,042.56 = 296,082.24/x
  3. Step 3: Cross multiply
    513,841.83x = 709,042.56 × 296,082.24
  4. Step 4: Simplify right side
    513,841.83x = 209,934,907,316.38
  5. Step 5: Solve for x
    x = 209,934,907,316.38/513,841.83
  6. Step 6: Final answer
    x = 408,559.40

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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.