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Finding the Fourth Proportional to 284,059.49, 392,010.30 and 156,743.28

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Solution

The fourth proportional to 284,059.49, 392,010.30 and 156,743.28 is: 216,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,059.49 : 392,010.30 = 156,743.28 : x
  2. Step 2: Convert to fraction form
    284,059.49/392,010.30 = 156,743.28/x
  3. Step 3: Cross multiply
    284,059.49x = 392,010.30 × 156,743.28
  4. Step 4: Simplify right side
    284,059.49x = 61,444,980,215.78
  5. Step 5: Solve for x
    x = 61,444,980,215.78/284,059.49
  6. Step 6: Final answer
    x = 216,310.26

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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.