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Finding the Fourth Proportional to 596,196, 822,761.12 and 324,269.92

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Solution

The fourth proportional to 596,196, 822,761.12 and 324,269.92 is: 447,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,196 : 822,761.12 = 324,269.92 : x
  2. Step 2: Convert to fraction form
    596,196/822,761.12 = 324,269.92/x
  3. Step 3: Cross multiply
    596,196x = 822,761.12 × 324,269.92
  4. Step 4: Simplify right side
    596,196x = 266,796,682,561.51
  5. Step 5: Solve for x
    x = 266,796,682,561.51/596,196
  6. Step 6: Final answer
    x = 447,498.28

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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.