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Finding the Fourth Proportional to 551,432.10, 827,148.15 and 177,455.10

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Solution

The fourth proportional to 551,432.10, 827,148.15 and 177,455.10 is: 266,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,432.10 : 827,148.15 = 177,455.10 : x
  2. Step 2: Convert to fraction form
    551,432.10/827,148.15 = 177,455.10/x
  3. Step 3: Cross multiply
    551,432.10x = 827,148.15 × 177,455.10
  4. Step 4: Simplify right side
    551,432.10x = 146,781,657,673.07
  5. Step 5: Solve for x
    x = 146,781,657,673.07/551,432.10
  6. Step 6: Final answer
    x = 266,182.65

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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.