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Finding the Fourth Proportional to 414,007.61, 571,333.66 and 230,248.76

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Solution

The fourth proportional to 414,007.61, 571,333.66 and 230,248.76 is: 317,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,007.61 : 571,333.66 = 230,248.76 : x
  2. Step 2: Convert to fraction form
    414,007.61/571,333.66 = 230,248.76/x
  3. Step 3: Cross multiply
    414,007.61x = 571,333.66 × 230,248.76
  4. Step 4: Simplify right side
    414,007.61x = 131,548,863,328.97
  5. Step 5: Solve for x
    x = 131,548,863,328.97/414,007.61
  6. Step 6: Final answer
    x = 317,745.04

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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.