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Finding the Fourth Proportional to 322,482.48, 483,724.80 and 97,844.76

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Solution

The fourth proportional to 322,482.48, 483,724.80 and 97,844.76 is: 146,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,482.48 : 483,724.80 = 97,844.76 : x
  2. Step 2: Convert to fraction form
    322,482.48/483,724.80 = 97,844.76/x
  3. Step 3: Cross multiply
    322,482.48x = 483,724.80 × 97,844.76
  4. Step 4: Simplify right side
    322,482.48x = 47,329,936,962.05
  5. Step 5: Solve for x
    x = 47,329,936,962.05/322,482.48
  6. Step 6: Final answer
    x = 146,767.47

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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.