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Finding the Fourth Proportional to 510,951.38, 705,113.08 and 296,215.92

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Solution

The fourth proportional to 510,951.38, 705,113.08 and 296,215.92 is: 408,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,951.38 : 705,113.08 = 296,215.92 : x
  2. Step 2: Convert to fraction form
    510,951.38/705,113.08 = 296,215.92/x
  3. Step 3: Cross multiply
    510,951.38x = 705,113.08 × 296,215.92
  4. Step 4: Simplify right side
    510,951.38x = 208,865,719,696.23
  5. Step 5: Solve for x
    x = 208,865,719,696.23/510,951.38
  6. Step 6: Final answer
    x = 408,778.07

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1.5x scale

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.