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Finding the Fourth Proportional to 415,426.16, 573,362.76 and 396,494.06

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Solution

The fourth proportional to 415,426.16, 573,362.76 and 396,494.06 is: 547,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,426.16 : 573,362.76 = 396,494.06 : x
  2. Step 2: Convert to fraction form
    415,426.16/573,362.76 = 396,494.06/x
  3. Step 3: Cross multiply
    415,426.16x = 573,362.76 × 396,494.06
  4. Step 4: Simplify right side
    415,426.16x = 227,334,928,565.21
  5. Step 5: Solve for x
    x = 227,334,928,565.21/415,426.16
  6. Step 6: Final answer
    x = 547,233.06

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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.