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Finding the Fourth Proportional to 497,275.99, 686,241.66 and 282,415.93

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Solution

The fourth proportional to 497,275.99, 686,241.66 and 282,415.93 is: 389,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,275.99 : 686,241.66 = 282,415.93 : x
  2. Step 2: Convert to fraction form
    497,275.99/686,241.66 = 282,415.93/x
  3. Step 3: Cross multiply
    497,275.99x = 686,241.66 × 282,415.93
  4. Step 4: Simplify right side
    497,275.99x = 193,805,576,613.64
  5. Step 5: Solve for x
    x = 193,805,576,613.64/497,275.99
  6. Step 6: Final answer
    x = 389,734.43

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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.