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Finding the Fourth Proportional to 551,471.82, 761,014.54 and 306,455.75

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Solution

The fourth proportional to 551,471.82, 761,014.54 and 306,455.75 is: 422,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,471.82 : 761,014.54 = 306,455.75 : x
  2. Step 2: Convert to fraction form
    551,471.82/761,014.54 = 306,455.75/x
  3. Step 3: Cross multiply
    551,471.82x = 761,014.54 × 306,455.75
  4. Step 4: Simplify right side
    551,471.82x = 233,217,281,616.61
  5. Step 5: Solve for x
    x = 233,217,281,616.61/551,471.82
  6. Step 6: Final answer
    x = 422,899.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.