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Finding the Fourth Proportional to 502,274.32, 693,320.52 and 332,563.12

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Solution

The fourth proportional to 502,274.32, 693,320.52 and 332,563.12 is: 459,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,274.32 : 693,320.52 = 332,563.12 : x
  2. Step 2: Convert to fraction form
    502,274.32/693,320.52 = 332,563.12/x
  3. Step 3: Cross multiply
    502,274.32x = 693,320.52 × 332,563.12
  4. Step 4: Simplify right side
    502,274.32x = 230,572,835,291.22
  5. Step 5: Solve for x
    x = 230,572,835,291.22/502,274.32
  6. Step 6: Final answer
    x = 459,057.58

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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.