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Finding the Fourth Proportional to 652,154.80, 978,232.20 and 337,226.80

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Solution

The fourth proportional to 652,154.80, 978,232.20 and 337,226.80 is: 505,840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,154.80 : 978,232.20 = 337,226.80 : x
  2. Step 2: Convert to fraction form
    652,154.80/978,232.20 = 337,226.80/x
  3. Step 3: Cross multiply
    652,154.80x = 978,232.20 × 337,226.80
  4. Step 4: Simplify right side
    652,154.80x = 329,886,114,462.96
  5. Step 5: Solve for x
    x = 329,886,114,462.96/652,154.80
  6. Step 6: Final answer
    x = 505,840.20

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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.