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Finding the Fourth Proportional to 409,113.98, 564,286.47 and 273,079.34

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Solution

The fourth proportional to 409,113.98, 564,286.47 and 273,079.34 is: 376,655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,113.98 : 564,286.47 = 273,079.34 : x
  2. Step 2: Convert to fraction form
    409,113.98/564,286.47 = 273,079.34/x
  3. Step 3: Cross multiply
    409,113.98x = 564,286.47 × 273,079.34
  4. Step 4: Simplify right side
    409,113.98x = 154,094,976,798.53
  5. Step 5: Solve for x
    x = 154,094,976,798.53/409,113.98
  6. Step 6: Final answer
    x = 376,655.37

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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.