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Finding the Fourth Proportional to 310,397.60, 465,360.38 and 160,542.47

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Solution

The fourth proportional to 310,397.60, 465,360.38 and 160,542.47 is: 240,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,397.60 : 465,360.38 = 160,542.47 : x
  2. Step 2: Convert to fraction form
    310,397.60/465,360.38 = 160,542.47/x
  3. Step 3: Cross multiply
    310,397.60x = 465,360.38 × 160,542.47
  4. Step 4: Simplify right side
    310,397.60x = 74,710,104,845.34
  5. Step 5: Solve for x
    x = 74,710,104,845.34/310,397.60
  6. Step 6: Final answer
    x = 240,691.63

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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.