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Finding the Fourth Proportional to 296,939.32, 445,434.80 and 83,708.64

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Solution

The fourth proportional to 296,939.32, 445,434.80 and 83,708.64 is: 125,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,939.32 : 445,434.80 = 83,708.64 : x
  2. Step 2: Convert to fraction form
    296,939.32/445,434.80 = 83,708.64/x
  3. Step 3: Cross multiply
    296,939.32x = 445,434.80 × 83,708.64
  4. Step 4: Simplify right side
    296,939.32x = 37,286,740,898.13
  5. Step 5: Solve for x
    x = 37,286,740,898.13/296,939.32
  6. Step 6: Final answer
    x = 125,570.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.