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Finding the Fourth Proportional to 652,048.80, 978,073.20 and 452,983.20

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Solution

The fourth proportional to 652,048.80, 978,073.20 and 452,983.20 is: 679,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,048.80 : 978,073.20 = 452,983.20 : x
  2. Step 2: Convert to fraction form
    652,048.80/978,073.20 = 452,983.20/x
  3. Step 3: Cross multiply
    652,048.80x = 978,073.20 × 452,983.20
  4. Step 4: Simplify right side
    652,048.80x = 443,050,727,970.24
  5. Step 5: Solve for x
    x = 443,050,727,970.24/652,048.80
  6. Step 6: Final answer
    x = 679,474.80

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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.