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Finding the Fourth Proportional to 511,325.64, 766,988.46 and 156,339.66

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Solution

The fourth proportional to 511,325.64, 766,988.46 and 156,339.66 is: 234,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,325.64 : 766,988.46 = 156,339.66 : x
  2. Step 2: Convert to fraction form
    511,325.64/766,988.46 = 156,339.66/x
  3. Step 3: Cross multiply
    511,325.64x = 766,988.46 × 156,339.66
  4. Step 4: Simplify right side
    511,325.64x = 119,910,715,060.32
  5. Step 5: Solve for x
    x = 119,910,715,060.32/511,325.64
  6. Step 6: Final answer
    x = 234,509.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.