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Finding the Fourth Proportional to 511,344.66, 767,017.05 and 156,358.69

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Solution

The fourth proportional to 511,344.66, 767,017.05 and 156,358.69 is: 234,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,344.66 : 767,017.05 = 156,358.69 : x
  2. Step 2: Convert to fraction form
    511,344.66/767,017.05 = 156,358.69/x
  3. Step 3: Cross multiply
    511,344.66x = 767,017.05 × 156,358.69
  4. Step 4: Simplify right side
    511,344.66x = 119,929,781,145.67
  5. Step 5: Solve for x
    x = 119,929,781,145.67/511,344.66
  6. Step 6: Final answer
    x = 234,538.05

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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.