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Finding the Fourth Proportional to 316,531.76, 474,914.28 and 166,766

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Solution

The fourth proportional to 316,531.76, 474,914.28 and 166,766 is: 250,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,531.76 : 474,914.28 = 166,766 : x
  2. Step 2: Convert to fraction form
    316,531.76/474,914.28 = 166,766/x
  3. Step 3: Cross multiply
    316,531.76x = 474,914.28 × 166,766
  4. Step 4: Simplify right side
    316,531.76x = 79,199,554,818.48
  5. Step 5: Solve for x
    x = 79,199,554,818.48/316,531.76
  6. Step 6: Final answer
    x = 250,210.45

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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.