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Finding the Fourth Proportional to 284,301.96, 392,339.68 and 156,977.24

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Solution

The fourth proportional to 284,301.96, 392,339.68 and 156,977.24 is: 216,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,301.96 : 392,339.68 = 156,977.24 : x
  2. Step 2: Convert to fraction form
    284,301.96/392,339.68 = 156,977.24/x
  3. Step 3: Cross multiply
    284,301.96x = 392,339.68 × 156,977.24
  4. Step 4: Simplify right side
    284,301.96x = 61,588,400,108.88
  5. Step 5: Solve for x
    x = 61,588,400,108.88/284,301.96
  6. Step 6: Final answer
    x = 216,630.23

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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.