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Finding the Fourth Proportional to 284,715.06, 392,891.40 and 157,383.06

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Solution

The fourth proportional to 284,715.06, 392,891.40 and 157,383.06 is: 217,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,715.06 : 392,891.40 = 157,383.06 : x
  2. Step 2: Convert to fraction form
    284,715.06/392,891.40 = 157,383.06/x
  3. Step 3: Cross multiply
    284,715.06x = 392,891.40 × 157,383.06
  4. Step 4: Simplify right side
    284,715.06x = 61,834,450,779.68
  5. Step 5: Solve for x
    x = 61,834,450,779.68/284,715.06
  6. Step 6: Final answer
    x = 217,180.12

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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.