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Finding the Fourth Proportional to 419,027.54, 578,271.12 and 237,747.11

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Solution

The fourth proportional to 419,027.54, 578,271.12 and 237,747.11 is: 328,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,027.54 : 578,271.12 = 237,747.11 : x
  2. Step 2: Convert to fraction form
    419,027.54/578,271.12 = 237,747.11/x
  3. Step 3: Cross multiply
    419,027.54x = 578,271.12 × 237,747.11
  4. Step 4: Simplify right side
    419,027.54x = 137,482,283,793.56
  5. Step 5: Solve for x
    x = 137,482,283,793.56/419,027.54
  6. Step 6: Final answer
    x = 328,098.45

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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.