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Finding the Fourth Proportional to 709,106.44, 978,545.46 and 386,821.48

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Solution

The fourth proportional to 709,106.44, 978,545.46 and 386,821.48 is: 533,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,106.44 : 978,545.46 = 386,821.48 : x
  2. Step 2: Convert to fraction form
    709,106.44/978,545.46 = 386,821.48/x
  3. Step 3: Cross multiply
    709,106.44x = 978,545.46 × 386,821.48
  4. Step 4: Simplify right side
    709,106.44x = 378,522,403,084.48
  5. Step 5: Solve for x
    x = 378,522,403,084.48/709,106.44
  6. Step 6: Final answer
    x = 533,801.95

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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.