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Finding the Fourth Proportional to 410,887.13, 616,429.13 and 130,404.38

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Solution

The fourth proportional to 410,887.13, 616,429.13 and 130,404.38 is: 195,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,887.13 : 616,429.13 = 130,404.38 : x
  2. Step 2: Convert to fraction form
    410,887.13/616,429.13 = 130,404.38/x
  3. Step 3: Cross multiply
    410,887.13x = 616,429.13 × 130,404.38
  4. Step 4: Simplify right side
    410,887.13x = 80,385,054,777.42
  5. Step 5: Solve for x
    x = 80,385,054,777.42/410,887.13
  6. Step 6: Final answer
    x = 195,637.80

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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.