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Finding the Fourth Proportional to 284,211.44, 392,214.52 and 156,884.30

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Solution

The fourth proportional to 284,211.44, 392,214.52 and 156,884.30 is: 216,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,211.44 : 392,214.52 = 156,884.30 : x
  2. Step 2: Convert to fraction form
    284,211.44/392,214.52 = 156,884.30/x
  3. Step 3: Cross multiply
    284,211.44x = 392,214.52 × 156,884.30
  4. Step 4: Simplify right side
    284,211.44x = 61,532,300,420.04
  5. Step 5: Solve for x
    x = 61,532,300,420.04/284,211.44
  6. Step 6: Final answer
    x = 216,501.84

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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.