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Finding the Fourth Proportional to 284,251.77, 392,264.91 and 156,924.63

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Solution

The fourth proportional to 284,251.77, 392,264.91 and 156,924.63 is: 216,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,251.77 : 392,264.91 = 156,924.63 : x
  2. Step 2: Convert to fraction form
    284,251.77/392,264.91 = 156,924.63/x
  3. Step 3: Cross multiply
    284,251.77x = 392,264.91 × 156,924.63
  4. Step 4: Simplify right side
    284,251.77x = 61,556,025,863.73
  5. Step 5: Solve for x
    x = 61,556,025,863.73/284,251.77
  6. Step 6: Final answer
    x = 216,554.59

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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.