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Finding the Fourth Proportional to 284,313.14, 392,346.98 and 156,986

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Solution

The fourth proportional to 284,313.14, 392,346.98 and 156,986 is: 216,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,313.14 : 392,346.98 = 156,986 : x
  2. Step 2: Convert to fraction form
    284,313.14/392,346.98 = 156,986/x
  3. Step 3: Cross multiply
    284,313.14x = 392,346.98 × 156,986
  4. Step 4: Simplify right side
    284,313.14x = 61,592,983,002.28
  5. Step 5: Solve for x
    x = 61,592,983,002.28/284,313.14
  6. Step 6: Final answer
    x = 216,637.83

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