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Finding the Fourth Proportional to 652,085.80, 978,420.30 and 314,996.20

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Solution

The fourth proportional to 652,085.80, 978,420.30 and 314,996.20 is: 472,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,085.80 : 978,420.30 = 314,996.20 : x
  2. Step 2: Convert to fraction form
    652,085.80/978,420.30 = 314,996.20/x
  3. Step 3: Cross multiply
    652,085.80x = 978,420.30 × 314,996.20
  4. Step 4: Simplify right side
    652,085.80x = 308,198,676,502.86
  5. Step 5: Solve for x
    x = 308,198,676,502.86/652,085.80
  6. Step 6: Final answer
    x = 472,635.16

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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.