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Finding the Fourth Proportional to 310,398.60, 465,361.88 and 160,543.47

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Solution

The fourth proportional to 310,398.60, 465,361.88 and 160,543.47 is: 240,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,398.60 : 465,361.88 = 160,543.47 : x
  2. Step 2: Convert to fraction form
    310,398.60/465,361.88 = 160,543.47/x
  3. Step 3: Cross multiply
    310,398.60x = 465,361.88 × 160,543.47
  4. Step 4: Simplify right side
    310,398.60x = 74,710,811,020.92
  5. Step 5: Solve for x
    x = 74,710,811,020.92/310,398.60
  6. Step 6: Final answer
    x = 240,693.13

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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.