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Finding the Fourth Proportional to 284,406.24, 392,447.02 and 157,074.24

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Solution

The fourth proportional to 284,406.24, 392,447.02 and 157,074.24 is: 216,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,406.24 : 392,447.02 = 157,074.24 : x
  2. Step 2: Convert to fraction form
    284,406.24/392,447.02 = 157,074.24/x
  3. Step 3: Cross multiply
    284,406.24x = 392,447.02 × 157,074.24
  4. Step 4: Simplify right side
    284,406.24x = 61,643,317,406.76
  5. Step 5: Solve for x
    x = 61,643,317,406.76/284,406.24
  6. Step 6: Final answer
    x = 216,743.90

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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.