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Finding the Fourth Proportional to 473,934, 710,926.92 and 141,535.92

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Solution

The fourth proportional to 473,934, 710,926.92 and 141,535.92 is: 212,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,934 : 710,926.92 = 141,535.92 : x
  2. Step 2: Convert to fraction form
    473,934/710,926.92 = 141,535.92/x
  3. Step 3: Cross multiply
    473,934x = 710,926.92 × 141,535.92
  4. Step 4: Simplify right side
    473,934x = 100,621,695,674.97
  5. Step 5: Solve for x
    x = 100,621,695,674.97/473,934
  6. Step 6: Final answer
    x = 212,311.62

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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.