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Finding the Fourth Proportional to 474,077.52, 710,968.05 and 158,460.62

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Solution

The fourth proportional to 474,077.52, 710,968.05 and 158,460.62 is: 237,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,077.52 : 710,968.05 = 158,460.62 : x
  2. Step 2: Convert to fraction form
    474,077.52/710,968.05 = 158,460.62/x
  3. Step 3: Cross multiply
    474,077.52x = 710,968.05 × 158,460.62
  4. Step 4: Simplify right side
    474,077.52x = 112,660,434,448.35
  5. Step 5: Solve for x
    x = 112,660,434,448.35/474,077.52
  6. Step 6: Final answer
    x = 237,641.38

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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.