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Finding the Fourth Proportional to 456,472.80, 684,709.20 and 140,929.20

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Solution

The fourth proportional to 456,472.80, 684,709.20 and 140,929.20 is: 211,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,472.80 : 684,709.20 = 140,929.20 : x
  2. Step 2: Convert to fraction form
    456,472.80/684,709.20 = 140,929.20/x
  3. Step 3: Cross multiply
    456,472.80x = 684,709.20 × 140,929.20
  4. Step 4: Simplify right side
    456,472.80x = 96,495,519,788.64
  5. Step 5: Solve for x
    x = 96,495,519,788.64/456,472.80
  6. Step 6: Final answer
    x = 211,393.80

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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.