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Finding the Fourth Proportional to 585,470.82, 807,929.16 and 330,816.54

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Solution

The fourth proportional to 585,470.82, 807,929.16 and 330,816.54 is: 456,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,470.82 : 807,929.16 = 330,816.54 : x
  2. Step 2: Convert to fraction form
    585,470.82/807,929.16 = 330,816.54/x
  3. Step 3: Cross multiply
    585,470.82x = 807,929.16 × 330,816.54
  4. Step 4: Simplify right side
    585,470.82x = 267,276,329,276.31
  5. Step 5: Solve for x
    x = 267,276,329,276.31/585,470.82
  6. Step 6: Final answer
    x = 456,515.20

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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.