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Finding the Fourth Proportional to 284,724, 392,885.01 and 157,382.28

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Solution

The fourth proportional to 284,724, 392,885.01 and 157,382.28 is: 217,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,724 : 392,885.01 = 157,382.28 : x
  2. Step 2: Convert to fraction form
    284,724/392,885.01 = 157,382.28/x
  3. Step 3: Cross multiply
    284,724x = 392,885.01 × 157,382.28
  4. Step 4: Simplify right side
    284,724x = 61,833,138,651.62
  5. Step 5: Solve for x
    x = 61,833,138,651.62/284,724
  6. Step 6: Final answer
    x = 217,168.69

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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.