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Finding the Fourth Proportional to 497,583.76, 686,639.68 and 282,694

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Solution

The fourth proportional to 497,583.76, 686,639.68 and 282,694 is: 390,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,583.76 : 686,639.68 = 282,694 : x
  2. Step 2: Convert to fraction form
    497,583.76/686,639.68 = 282,694/x
  3. Step 3: Cross multiply
    497,583.76x = 686,639.68 × 282,694
  4. Step 4: Simplify right side
    497,583.76x = 194,108,917,697.92
  5. Step 5: Solve for x
    x = 194,108,917,697.92/497,583.76
  6. Step 6: Final answer
    x = 390,103.00

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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.