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Finding the Fourth Proportional to 551,332.77, 827,050.18 and 214,398.76

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Solution

The fourth proportional to 551,332.77, 827,050.18 and 214,398.76 is: 321,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,332.77 : 827,050.18 = 214,398.76 : x
  2. Step 2: Convert to fraction form
    551,332.77/827,050.18 = 214,398.76/x
  3. Step 3: Cross multiply
    551,332.77x = 827,050.18 × 214,398.76
  4. Step 4: Simplify right side
    551,332.77x = 177,318,533,049.78
  5. Step 5: Solve for x
    x = 177,318,533,049.78/551,332.77
  6. Step 6: Final answer
    x = 321,617.98

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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.