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Finding the Fourth Proportional to 581,713.98, 802,754.71 and 323,589.66

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Solution

The fourth proportional to 581,713.98, 802,754.71 and 323,589.66 is: 446,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,713.98 : 802,754.71 = 323,589.66 : x
  2. Step 2: Convert to fraction form
    581,713.98/802,754.71 = 323,589.66/x
  3. Step 3: Cross multiply
    581,713.98x = 802,754.71 × 323,589.66
  4. Step 4: Simplify right side
    581,713.98x = 259,763,123,672.30
  5. Step 5: Solve for x
    x = 259,763,123,672.30/581,713.98
  6. Step 6: Final answer
    x = 446,547.84

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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.