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Finding the Fourth Proportional to 709,074, 1,063,014.44 and 329,802.03

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Solution

The fourth proportional to 709,074, 1,063,014.44 and 329,802.03 is: 494,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,074 : 1,063,014.44 = 329,802.03 : x
  2. Step 2: Convert to fraction form
    709,074/1,063,014.44 = 329,802.03/x
  3. Step 3: Cross multiply
    709,074x = 1,063,014.44 × 329,802.03
  4. Step 4: Simplify right side
    709,074x = 350,584,318,582.30
  5. Step 5: Solve for x
    x = 350,584,318,582.30/709,074
  6. Step 6: Final answer
    x = 494,425.57

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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.