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Finding the Fourth Proportional to 526,032.54, 725,924.59 and 284,315.12

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Solution

The fourth proportional to 526,032.54, 725,924.59 and 284,315.12 is: 392,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,032.54 : 725,924.59 = 284,315.12 : x
  2. Step 2: Convert to fraction form
    526,032.54/725,924.59 = 284,315.12/x
  3. Step 3: Cross multiply
    526,032.54x = 725,924.59 × 284,315.12
  4. Step 4: Simplify right side
    526,032.54x = 206,391,338,020.82
  5. Step 5: Solve for x
    x = 206,391,338,020.82/526,032.54
  6. Step 6: Final answer
    x = 392,354.70

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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.