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Finding the Fourth Proportional to 506,114.46, 698,438.12 and 276,672.76

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Solution

The fourth proportional to 506,114.46, 698,438.12 and 276,672.76 is: 381,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,114.46 : 698,438.12 = 276,672.76 : x
  2. Step 2: Convert to fraction form
    506,114.46/698,438.12 = 276,672.76/x
  3. Step 3: Cross multiply
    506,114.46x = 698,438.12 × 276,672.76
  4. Step 4: Simplify right side
    506,114.46x = 193,238,802,349.61
  5. Step 5: Solve for x
    x = 193,238,802,349.61/506,114.46
  6. Step 6: Final answer
    x = 381,808.50

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Double scale
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1.5x scale

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.