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Finding the Fourth Proportional to 468,233.40, 700,794.90 and 328,265.40

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Solution

The fourth proportional to 468,233.40, 700,794.90 and 328,265.40 is: 491,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,233.40 : 700,794.90 = 328,265.40 : x
  2. Step 2: Convert to fraction form
    468,233.40/700,794.90 = 328,265.40/x
  3. Step 3: Cross multiply
    468,233.40x = 700,794.90 × 328,265.40
  4. Step 4: Simplify right side
    468,233.40x = 230,046,718,166.46
  5. Step 5: Solve for x
    x = 230,046,718,166.46/468,233.40
  6. Step 6: Final answer
    x = 491,307.79

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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.