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Finding the Fourth Proportional to 871,007, 1,306,592.94 and 338,569.16

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Solution

The fourth proportional to 871,007, 1,306,592.94 and 338,569.16 is: 507,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,007 : 1,306,592.94 = 338,569.16 : x
  2. Step 2: Convert to fraction form
    871,007/1,306,592.94 = 338,569.16/x
  3. Step 3: Cross multiply
    871,007x = 1,306,592.94 × 338,569.16
  4. Step 4: Simplify right side
    871,007x = 442,372,074,157.73
  5. Step 5: Solve for x
    x = 442,372,074,157.73/871,007
  6. Step 6: Final answer
    x = 507,885.79

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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.