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Finding the Fourth Proportional to 414,170.24, 571,601.98 and 230,426.98

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Solution

The fourth proportional to 414,170.24, 571,601.98 and 230,426.98 is: 318,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,170.24 : 571,601.98 = 230,426.98 : x
  2. Step 2: Convert to fraction form
    414,170.24/571,601.98 = 230,426.98/x
  3. Step 3: Cross multiply
    414,170.24x = 571,601.98 × 230,426.98
  4. Step 4: Simplify right side
    414,170.24x = 131,712,518,013.42
  5. Step 5: Solve for x
    x = 131,712,518,013.42/414,170.24
  6. Step 6: Final answer
    x = 318,015.41

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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.