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Finding the Fourth Proportional to 526,322.25, 726,280.56 and 311,424.66

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Solution

The fourth proportional to 526,322.25, 726,280.56 and 311,424.66 is: 429,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,322.25 : 726,280.56 = 311,424.66 : x
  2. Step 2: Convert to fraction form
    526,322.25/726,280.56 = 311,424.66/x
  3. Step 3: Cross multiply
    526,322.25x = 726,280.56 × 311,424.66
  4. Step 4: Simplify right side
    526,322.25x = 226,181,676,462.61
  5. Step 5: Solve for x
    x = 226,181,676,462.61/526,322.25
  6. Step 6: Final answer
    x = 429,739.91

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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.