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Finding the Fourth Proportional to 497,165.59, 686,093.21 and 282,310.17

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Solution

The fourth proportional to 497,165.59, 686,093.21 and 282,310.17 is: 389,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,165.59 : 686,093.21 = 282,310.17 : x
  2. Step 2: Convert to fraction form
    497,165.59/686,093.21 = 282,310.17/x
  3. Step 3: Cross multiply
    497,165.59x = 686,093.21 × 282,310.17
  4. Step 4: Simplify right side
    497,165.59x = 193,691,090,750.95
  5. Step 5: Solve for x
    x = 193,691,090,750.95/497,165.59
  6. Step 6: Final answer
    x = 389,590.70

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1.5x scale

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.