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Finding the Fourth Proportional to 510,882.48, 705,013.92 and 296,017.92

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Solution

The fourth proportional to 510,882.48, 705,013.92 and 296,017.92 is: 408,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,882.48 : 705,013.92 = 296,017.92 : x
  2. Step 2: Convert to fraction form
    510,882.48/705,013.92 = 296,017.92/x
  3. Step 3: Cross multiply
    510,882.48x = 705,013.92 × 296,017.92
  4. Step 4: Simplify right side
    510,882.48x = 208,696,754,169.45
  5. Step 5: Solve for x
    x = 208,696,754,169.45/510,882.48
  6. Step 6: Final answer
    x = 408,502.47

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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.