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Finding the Fourth Proportional to 414,502.76, 571,972.98 and 233,210.69

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Solution

The fourth proportional to 414,502.76, 571,972.98 and 233,210.69 is: 321,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,502.76 : 571,972.98 = 233,210.69 : x
  2. Step 2: Convert to fraction form
    414,502.76/571,972.98 = 233,210.69/x
  3. Step 3: Cross multiply
    414,502.76x = 571,972.98 × 233,210.69
  4. Step 4: Simplify right side
    414,502.76x = 133,390,211,737.65
  5. Step 5: Solve for x
    x = 133,390,211,737.65/414,502.76
  6. Step 6: Final answer
    x = 321,807.78

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Double scale
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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.