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Finding the Fourth Proportional to 456,219.90, 684,265.05 and 156,714.30

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Solution

The fourth proportional to 456,219.90, 684,265.05 and 156,714.30 is: 235,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,219.90 : 684,265.05 = 156,714.30 : x
  2. Step 2: Convert to fraction form
    456,219.90/684,265.05 = 156,714.30/x
  3. Step 3: Cross multiply
    456,219.90x = 684,265.05 × 156,714.30
  4. Step 4: Simplify right side
    456,219.90x = 107,234,118,325.22
  5. Step 5: Solve for x
    x = 107,234,118,325.22/456,219.90
  6. Step 6: Final answer
    x = 235,049.19

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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.