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Finding the Fourth Proportional to 478,470.76, 717,682.29 and 178,929.32

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Solution

The fourth proportional to 478,470.76, 717,682.29 and 178,929.32 is: 268,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,470.76 : 717,682.29 = 178,929.32 : x
  2. Step 2: Convert to fraction form
    478,470.76/717,682.29 = 178,929.32/x
  3. Step 3: Cross multiply
    478,470.76x = 717,682.29 × 178,929.32
  4. Step 4: Simplify right side
    478,470.76x = 128,414,400,537.33
  5. Step 5: Solve for x
    x = 128,414,400,537.33/478,470.76
  6. Step 6: Final answer
    x = 268,385.05

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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.