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Finding the Fourth Proportional to 497,201.67, 686,114.69 and 282,313.17

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Solution

The fourth proportional to 497,201.67, 686,114.69 and 282,313.17 is: 389,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,201.67 : 686,114.69 = 282,313.17 : x
  2. Step 2: Convert to fraction form
    497,201.67/686,114.69 = 282,313.17/x
  3. Step 3: Cross multiply
    497,201.67x = 686,114.69 × 282,313.17
  4. Step 4: Simplify right side
    497,201.67x = 193,699,211,705.90
  5. Step 5: Solve for x
    x = 193,699,211,705.90/497,201.67
  6. Step 6: Final answer
    x = 389,578.76

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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.