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Finding the Fourth Proportional to 584,326.42, 806,354.10 and 329,701.30

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Solution

The fourth proportional to 584,326.42, 806,354.10 and 329,701.30 is: 454,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,326.42 : 806,354.10 = 329,701.30 : x
  2. Step 2: Convert to fraction form
    584,326.42/806,354.10 = 329,701.30/x
  3. Step 3: Cross multiply
    584,326.42x = 806,354.10 × 329,701.30
  4. Step 4: Simplify right side
    584,326.42x = 265,855,995,030.33
  5. Step 5: Solve for x
    x = 265,855,995,030.33/584,326.42
  6. Step 6: Final answer
    x = 454,978.56

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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.