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Finding the Fourth Proportional to 284,360.72, 392,414.62 and 157,033.76

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Solution

The fourth proportional to 284,360.72, 392,414.62 and 157,033.76 is: 216,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,360.72 : 392,414.62 = 157,033.76 : x
  2. Step 2: Convert to fraction form
    284,360.72/392,414.62 = 157,033.76/x
  3. Step 3: Cross multiply
    284,360.72x = 392,414.62 × 157,033.76
  4. Step 4: Simplify right side
    284,360.72x = 61,622,343,257.57
  5. Step 5: Solve for x
    x = 61,622,343,257.57/284,360.72
  6. Step 6: Final answer
    x = 216,704.84

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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.