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Finding the Fourth Proportional to 513,872.09, 709,125.38 and 284,429.82

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Solution

The fourth proportional to 513,872.09, 709,125.38 and 284,429.82 is: 392,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,872.09 : 709,125.38 = 284,429.82 : x
  2. Step 2: Convert to fraction form
    513,872.09/709,125.38 = 284,429.82/x
  3. Step 3: Cross multiply
    513,872.09x = 709,125.38 × 284,429.82
  4. Step 4: Simplify right side
    513,872.09x = 201,696,406,100.02
  5. Step 5: Solve for x
    x = 201,696,406,100.02/513,872.09
  6. Step 6: Final answer
    x = 392,503.13

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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.