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Finding the Fourth Proportional to 474,046.02, 710,920.80 and 158,429.12

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Solution

The fourth proportional to 474,046.02, 710,920.80 and 158,429.12 is: 237,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,046.02 : 710,920.80 = 158,429.12 : x
  2. Step 2: Convert to fraction form
    474,046.02/710,920.80 = 158,429.12/x
  3. Step 3: Cross multiply
    474,046.02x = 710,920.80 × 158,429.12
  4. Step 4: Simplify right side
    474,046.02x = 112,630,553,179.09
  5. Step 5: Solve for x
    x = 112,630,553,179.09/474,046.02
  6. Step 6: Final answer
    x = 237,594.13

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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.