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Finding the Fourth Proportional to 410,565.38, 566,830.36 and 281,715.54

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Solution

The fourth proportional to 410,565.38, 566,830.36 and 281,715.54 is: 388,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,565.38 : 566,830.36 = 281,715.54 : x
  2. Step 2: Convert to fraction form
    410,565.38/566,830.36 = 281,715.54/x
  3. Step 3: Cross multiply
    410,565.38x = 566,830.36 × 281,715.54
  4. Step 4: Simplify right side
    410,565.38x = 159,684,917,597.68
  5. Step 5: Solve for x
    x = 159,684,917,597.68/410,565.38
  6. Step 6: Final answer
    x = 388,939.08

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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.