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Finding the Fourth Proportional to 508,158.60, 701,301.94 and 281,877

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Solution

The fourth proportional to 508,158.60, 701,301.94 and 281,877 is: 389,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,158.60 : 701,301.94 = 281,877 : x
  2. Step 2: Convert to fraction form
    508,158.60/701,301.94 = 281,877/x
  3. Step 3: Cross multiply
    508,158.60x = 701,301.94 × 281,877
  4. Step 4: Simplify right side
    508,158.60x = 197,680,886,941.38
  5. Step 5: Solve for x
    x = 197,680,886,941.38/508,158.60
  6. Step 6: Final answer
    x = 389,014.15

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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.