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Finding the Fourth Proportional to 497,593.00, 686,674.75 and 282,733.07

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Solution

The fourth proportional to 497,593.00, 686,674.75 and 282,733.07 is: 390,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,593.00 : 686,674.75 = 282,733.07 : x
  2. Step 2: Convert to fraction form
    497,593.00/686,674.75 = 282,733.07/x
  3. Step 3: Cross multiply
    497,593.00x = 686,674.75 × 282,733.07
  4. Step 4: Simplify right side
    497,593.00x = 194,145,656,548.90
  5. Step 5: Solve for x
    x = 194,145,656,548.90/497,593.00
  6. Step 6: Final answer
    x = 390,169.59

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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.