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Finding the Fourth Proportional to 474,078.52, 710,969.55 and 158,461.62

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Solution

The fourth proportional to 474,078.52, 710,969.55 and 158,461.62 is: 237,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,078.52 : 710,969.55 = 158,461.62 : x
  2. Step 2: Convert to fraction form
    474,078.52/710,969.55 = 158,461.62/x
  3. Step 3: Cross multiply
    474,078.52x = 710,969.55 × 158,461.62
  4. Step 4: Simplify right side
    474,078.52x = 112,661,386,663.67
  5. Step 5: Solve for x
    x = 112,661,386,663.67/474,078.52
  6. Step 6: Final answer
    x = 237,642.88

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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.