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Finding the Fourth Proportional to 284,524.64, 392,610.56 and 157,192.64

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Solution

The fourth proportional to 284,524.64, 392,610.56 and 157,192.64 is: 216,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,524.64 : 392,610.56 = 157,192.64 : x
  2. Step 2: Convert to fraction form
    284,524.64/392,610.56 = 157,192.64/x
  3. Step 3: Cross multiply
    284,524.64x = 392,610.56 × 157,192.64
  4. Step 4: Simplify right side
    284,524.64x = 61,715,490,418.28
  5. Step 5: Solve for x
    x = 61,715,490,418.28/284,524.64
  6. Step 6: Final answer
    x = 216,907.37

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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.