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Finding the Fourth Proportional to 497,583.89, 686,639.84 and 282,694.13

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Solution

The fourth proportional to 497,583.89, 686,639.84 and 282,694.13 is: 390,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,583.89 : 686,639.84 = 282,694.13 : x
  2. Step 2: Convert to fraction form
    497,583.89/686,639.84 = 282,694.13/x
  3. Step 3: Cross multiply
    497,583.89x = 686,639.84 × 282,694.13
  4. Step 4: Simplify right side
    497,583.89x = 194,109,049,465.68
  5. Step 5: Solve for x
    x = 194,109,049,465.68/497,583.89
  6. Step 6: Final answer
    x = 390,103.17

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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.