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Finding the Fourth Proportional to 415,182.58, 572,833.42 and 233,831.08

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Solution

The fourth proportional to 415,182.58, 572,833.42 and 233,831.08 is: 322,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,182.58 : 572,833.42 = 233,831.08 : x
  2. Step 2: Convert to fraction form
    415,182.58/572,833.42 = 233,831.08/x
  3. Step 3: Cross multiply
    415,182.58x = 572,833.42 × 233,831.08
  4. Step 4: Simplify right side
    415,182.58x = 133,946,257,258.69
  5. Step 5: Solve for x
    x = 133,946,257,258.69/415,182.58
  6. Step 6: Final answer
    x = 322,620.13

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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.