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Finding the Fourth Proportional to 596,349.30, 822,967.38 and 324,423.12

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Solution

The fourth proportional to 596,349.30, 822,967.38 and 324,423.12 is: 447,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,349.30 : 822,967.38 = 324,423.12 : x
  2. Step 2: Convert to fraction form
    596,349.30/822,967.38 = 324,423.12/x
  3. Step 3: Cross multiply
    596,349.30x = 822,967.38 × 324,423.12
  4. Step 4: Simplify right side
    596,349.30x = 266,989,645,077.83
  5. Step 5: Solve for x
    x = 266,989,645,077.83/596,349.30
  6. Step 6: Final answer
    x = 447,706.81

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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.