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Finding the Fourth Proportional to 284,296.76, 392,324.82 and 156,969.08

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Solution

The fourth proportional to 284,296.76, 392,324.82 and 156,969.08 is: 216,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,296.76 : 392,324.82 = 156,969.08 : x
  2. Step 2: Convert to fraction form
    284,296.76/392,324.82 = 156,969.08/x
  3. Step 3: Cross multiply
    284,296.76x = 392,324.82 × 156,969.08
  4. Step 4: Simplify right side
    284,296.76x = 61,582,866,056.57
  5. Step 5: Solve for x
    x = 61,582,866,056.57/284,296.76
  6. Step 6: Final answer
    x = 216,614.73

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1.5x scale

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.