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Finding the Fourth Proportional to 526,326.48, 726,338.16 and 296,894.52

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Solution

The fourth proportional to 526,326.48, 726,338.16 and 296,894.52 is: 409,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,326.48 : 726,338.16 = 296,894.52 : x
  2. Step 2: Convert to fraction form
    526,326.48/726,338.16 = 296,894.52/x
  3. Step 3: Cross multiply
    526,326.48x = 726,338.16 × 296,894.52
  4. Step 4: Simplify right side
    526,326.48x = 215,645,819,370.88
  5. Step 5: Solve for x
    x = 215,645,819,370.88/526,326.48
  6. Step 6: Final answer
    x = 409,718.73

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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.