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Finding the Fourth Proportional to 497,404.42, 686,393.67 and 282,516.28

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Solution

The fourth proportional to 497,404.42, 686,393.67 and 282,516.28 is: 389,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,404.42 : 686,393.67 = 282,516.28 : x
  2. Step 2: Convert to fraction form
    497,404.42/686,393.67 = 282,516.28/x
  3. Step 3: Cross multiply
    497,404.42x = 686,393.67 × 282,516.28
  4. Step 4: Simplify right side
    497,404.42x = 193,917,386,263.95
  5. Step 5: Solve for x
    x = 193,917,386,263.95/497,404.42
  6. Step 6: Final answer
    x = 389,858.59

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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.