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Finding the Fourth Proportional to 317,686.88, 476,541.76 and 159,829.44

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Solution

The fourth proportional to 317,686.88, 476,541.76 and 159,829.44 is: 239,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,686.88 : 476,541.76 = 159,829.44 : x
  2. Step 2: Convert to fraction form
    317,686.88/476,541.76 = 159,829.44/x
  3. Step 3: Cross multiply
    317,686.88x = 476,541.76 × 159,829.44
  4. Step 4: Simplify right side
    317,686.88x = 76,165,402,637.41
  5. Step 5: Solve for x
    x = 76,165,402,637.41/317,686.88
  6. Step 6: Final answer
    x = 239,749.92

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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.