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Finding the Fourth Proportional to 473,239.60, 709,141.13 and 346,963.91

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Solution

The fourth proportional to 473,239.60, 709,141.13 and 346,963.91 is: 519,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,239.60 : 709,141.13 = 346,963.91 : x
  2. Step 2: Convert to fraction form
    473,239.60/709,141.13 = 346,963.91/x
  3. Step 3: Cross multiply
    473,239.60x = 709,141.13 × 346,963.91
  4. Step 4: Simplify right side
    473,239.60x = 246,046,375,227.21
  5. Step 5: Solve for x
    x = 246,046,375,227.21/473,239.60
  6. Step 6: Final answer
    x = 519,919.25

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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.