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Finding the Fourth Proportional to 585,463.52, 807,929.16 and 330,809.24

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Solution

The fourth proportional to 585,463.52, 807,929.16 and 330,809.24 is: 456,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,463.52 : 807,929.16 = 330,809.24 : x
  2. Step 2: Convert to fraction form
    585,463.52/807,929.16 = 330,809.24/x
  3. Step 3: Cross multiply
    585,463.52x = 807,929.16 × 330,809.24
  4. Step 4: Simplify right side
    585,463.52x = 267,270,431,393.44
  5. Step 5: Solve for x
    x = 267,270,431,393.44/585,463.52
  6. Step 6: Final answer
    x = 456,510.82

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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.