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Finding the Fourth Proportional to 526,306.77, 726,302.82 and 284,588.79

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Solution

The fourth proportional to 526,306.77, 726,302.82 and 284,588.79 is: 392,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,306.77 : 726,302.82 = 284,588.79 : x
  2. Step 2: Convert to fraction form
    526,306.77/726,302.82 = 284,588.79/x
  3. Step 3: Cross multiply
    526,306.77x = 726,302.82 × 284,588.79
  4. Step 4: Simplify right side
    526,306.77x = 206,697,640,717.39
  5. Step 5: Solve for x
    x = 206,697,640,717.39/526,306.77
  6. Step 6: Final answer
    x = 392,732.25

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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.