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Finding the Fourth Proportional to 978,085.20, 1,467,127.80 and 942,655.80

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Solution

The fourth proportional to 978,085.20, 1,467,127.80 and 942,655.80 is: 1,413,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,085.20 : 1,467,127.80 = 942,655.80 : x
  2. Step 2: Convert to fraction form
    978,085.20/1,467,127.80 = 942,655.80/x
  3. Step 3: Cross multiply
    978,085.20x = 1,467,127.80 × 942,655.80
  4. Step 4: Simplify right side
    978,085.20x = 1,382,996,530,011.24
  5. Step 5: Solve for x
    x = 1,382,996,530,011.24/978,085.20
  6. Step 6: Final answer
    x = 1,413,983.70

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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.