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Finding the Fourth Proportional to 526,105.12, 726,023.64 and 299,752.24

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Solution

The fourth proportional to 526,105.12, 726,023.64 and 299,752.24 is: 413,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,105.12 : 726,023.64 = 299,752.24 : x
  2. Step 2: Convert to fraction form
    526,105.12/726,023.64 = 299,752.24/x
  3. Step 3: Cross multiply
    526,105.12x = 726,023.64 × 299,752.24
  4. Step 4: Simplify right side
    526,105.12x = 217,627,212,382.95
  5. Step 5: Solve for x
    x = 217,627,212,382.95/526,105.12
  6. Step 6: Final answer
    x = 413,657.28

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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.