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Finding the Fourth Proportional to 506,066.54, 698,358.78 and 276,624.38

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Solution

The fourth proportional to 506,066.54, 698,358.78 and 276,624.38 is: 381,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,066.54 : 698,358.78 = 276,624.38 : x
  2. Step 2: Convert to fraction form
    506,066.54/698,358.78 = 276,624.38/x
  3. Step 3: Cross multiply
    506,066.54x = 698,358.78 × 276,624.38
  4. Step 4: Simplify right side
    506,066.54x = 193,183,066,280.95
  5. Step 5: Solve for x
    x = 193,183,066,280.95/506,066.54
  6. Step 6: Final answer
    x = 381,734.52

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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.