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Finding the Fourth Proportional to 652,109.80, 978,456.30 and 315,020.20

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Solution

The fourth proportional to 652,109.80, 978,456.30 and 315,020.20 is: 472,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,109.80 : 978,456.30 = 315,020.20 : x
  2. Step 2: Convert to fraction form
    652,109.80/978,456.30 = 315,020.20/x
  3. Step 3: Cross multiply
    652,109.80x = 978,456.30 × 315,020.20
  4. Step 4: Simplify right side
    652,109.80x = 308,233,499,317.26
  5. Step 5: Solve for x
    x = 308,233,499,317.26/652,109.80
  6. Step 6: Final answer
    x = 472,671.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.