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Finding the Fourth Proportional to 596,886.90, 823,712.27 and 324,963.02

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Solution

The fourth proportional to 596,886.90, 823,712.27 and 324,963.02 is: 448,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,886.90 : 823,712.27 = 324,963.02 : x
  2. Step 2: Convert to fraction form
    596,886.90/823,712.27 = 324,963.02/x
  3. Step 3: Cross multiply
    596,886.90x = 823,712.27 × 324,963.02
  4. Step 4: Simplify right side
    596,886.90x = 267,676,021,126.88
  5. Step 5: Solve for x
    x = 267,676,021,126.88/596,886.90
  6. Step 6: Final answer
    x = 448,453.50

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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.