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Finding the Fourth Proportional to 510,541.30, 704,535.33 and 319,659.94

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Solution

The fourth proportional to 510,541.30, 704,535.33 and 319,659.94 is: 441,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,541.30 : 704,535.33 = 319,659.94 : x
  2. Step 2: Convert to fraction form
    510,541.30/704,535.33 = 319,659.94/x
  3. Step 3: Cross multiply
    510,541.30x = 704,535.33 × 319,659.94
  4. Step 4: Simplify right side
    510,541.30x = 225,211,721,315.68
  5. Step 5: Solve for x
    x = 225,211,721,315.68/510,541.30
  6. Step 6: Final answer
    x = 441,123.41

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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.