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Finding the Fourth Proportional to 551,427.20, 827,284.80 and 177,459.20

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Solution

The fourth proportional to 551,427.20, 827,284.80 and 177,459.20 is: 266,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,427.20 : 827,284.80 = 177,459.20 : x
  2. Step 2: Convert to fraction form
    551,427.20/827,284.80 = 177,459.20/x
  3. Step 3: Cross multiply
    551,427.20x = 827,284.80 × 177,459.20
  4. Step 4: Simplify right side
    551,427.20x = 146,809,298,780.16
  5. Step 5: Solve for x
    x = 146,809,298,780.16/551,427.20
  6. Step 6: Final answer
    x = 266,235.14

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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.