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Finding the Fourth Proportional to 309,862.68, 464,758.38 and 96,646.92

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Solution

The fourth proportional to 309,862.68, 464,758.38 and 96,646.92 is: 144,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,862.68 : 464,758.38 = 96,646.92 : x
  2. Step 2: Convert to fraction form
    309,862.68/464,758.38 = 96,646.92/x
  3. Step 3: Cross multiply
    309,862.68x = 464,758.38 × 96,646.92
  4. Step 4: Simplify right side
    309,862.68x = 44,917,465,971.19
  5. Step 5: Solve for x
    x = 44,917,465,971.19/309,862.68
  6. Step 6: Final answer
    x = 144,959.26

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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.