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Finding the Fourth Proportional to 497,274.99, 686,240.28 and 282,414.93

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Solution

The fourth proportional to 497,274.99, 686,240.28 and 282,414.93 is: 389,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,274.99 : 686,240.28 = 282,414.93 : x
  2. Step 2: Convert to fraction form
    497,274.99/686,240.28 = 282,414.93/x
  3. Step 3: Cross multiply
    497,274.99x = 686,240.28 × 282,414.93
  4. Step 4: Simplify right side
    497,274.99x = 193,804,500,639.38
  5. Step 5: Solve for x
    x = 193,804,500,639.38/497,274.99
  6. Step 6: Final answer
    x = 389,733.05

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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.