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Finding the Fourth Proportional to 822,331, 1,233,677.94 and 349,420.60

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Solution

The fourth proportional to 822,331, 1,233,677.94 and 349,420.60 is: 524,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,331 : 1,233,677.94 = 349,420.60 : x
  2. Step 2: Convert to fraction form
    822,331/1,233,677.94 = 349,420.60/x
  3. Step 3: Cross multiply
    822,331x = 1,233,677.94 × 349,420.60
  4. Step 4: Simplify right side
    822,331x = 431,072,486,001.56
  5. Step 5: Solve for x
    x = 431,072,486,001.56/822,331
  6. Step 6: Final answer
    x = 524,208.00

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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.