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Finding the Fourth Proportional to 414,248.88, 571,658.02 and 232,960.75

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Solution

The fourth proportional to 414,248.88, 571,658.02 and 232,960.75 is: 321,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,248.88 : 571,658.02 = 232,960.75 : x
  2. Step 2: Convert to fraction form
    414,248.88/571,658.02 = 232,960.75/x
  3. Step 3: Cross multiply
    414,248.88x = 571,658.02 × 232,960.75
  4. Step 4: Simplify right side
    414,248.88x = 133,173,881,082.72
  5. Step 5: Solve for x
    x = 133,173,881,082.72/414,248.88
  6. Step 6: Final answer
    x = 321,482.78

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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.