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Finding the Fourth Proportional to 596,184, 822,736.08 and 324,251.88

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Solution

The fourth proportional to 596,184, 822,736.08 and 324,251.88 is: 447,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,184 : 822,736.08 = 324,251.88 : x
  2. Step 2: Convert to fraction form
    596,184/822,736.08 = 324,251.88/x
  3. Step 3: Cross multiply
    596,184x = 822,736.08 × 324,251.88
  4. Step 4: Simplify right side
    596,184x = 266,773,720,683.83
  5. Step 5: Solve for x
    x = 266,773,720,683.83/596,184
  6. Step 6: Final answer
    x = 447,468.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.