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Finding the Fourth Proportional to 310,207.83, 465,710.22 and 239,175.59

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Solution

The fourth proportional to 310,207.83, 465,710.22 and 239,175.59 is: 359,070.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,207.83 : 465,710.22 = 239,175.59 : x
  2. Step 2: Convert to fraction form
    310,207.83/465,710.22 = 239,175.59/x
  3. Step 3: Cross multiply
    310,207.83x = 465,710.22 × 239,175.59
  4. Step 4: Simplify right side
    310,207.83x = 111,386,514,645.32
  5. Step 5: Solve for x
    x = 111,386,514,645.32/310,207.83
  6. Step 6: Final answer
    x = 359,070.61

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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.