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Finding the Fourth Proportional to 414,797.76, 572,475.47 and 233,545.01

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Solution

The fourth proportional to 414,797.76, 572,475.47 and 233,545.01 is: 322,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,797.76 : 572,475.47 = 233,545.01 : x
  2. Step 2: Convert to fraction form
    414,797.76/572,475.47 = 233,545.01/x
  3. Step 3: Cross multiply
    414,797.76x = 572,475.47 × 233,545.01
  4. Step 4: Simplify right side
    414,797.76x = 133,698,785,335.80
  5. Step 5: Solve for x
    x = 133,698,785,335.80/414,797.76
  6. Step 6: Final answer
    x = 322,322.82

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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.