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Finding the Fourth Proportional to 456,234.90, 684,287.55 and 156,729.30

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Solution

The fourth proportional to 456,234.90, 684,287.55 and 156,729.30 is: 235,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,234.90 : 684,287.55 = 156,729.30 : x
  2. Step 2: Convert to fraction form
    456,234.90/684,287.55 = 156,729.30/x
  3. Step 3: Cross multiply
    456,234.90x = 684,287.55 × 156,729.30
  4. Step 4: Simplify right side
    456,234.90x = 107,247,908,710.22
  5. Step 5: Solve for x
    x = 107,247,908,710.22/456,234.90
  6. Step 6: Final answer
    x = 235,071.69

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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.