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Finding the Fourth Proportional to 465,851.40, 699,302.70 and 308,387.40

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Solution

The fourth proportional to 465,851.40, 699,302.70 and 308,387.40 is: 462,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,851.40 : 699,302.70 = 308,387.40 : x
  2. Step 2: Convert to fraction form
    465,851.40/699,302.70 = 308,387.40/x
  3. Step 3: Cross multiply
    465,851.40x = 699,302.70 × 308,387.40
  4. Step 4: Simplify right side
    465,851.40x = 215,656,141,465.98
  5. Step 5: Solve for x
    x = 215,656,141,465.98/465,851.40
  6. Step 6: Final answer
    x = 462,929.04

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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.