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Finding the Fourth Proportional to 497,899.38, 687,098.01 and 283,039.44

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Solution

The fourth proportional to 497,899.38, 687,098.01 and 283,039.44 is: 390,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,899.38 : 687,098.01 = 283,039.44 : x
  2. Step 2: Convert to fraction form
    497,899.38/687,098.01 = 283,039.44/x
  3. Step 3: Cross multiply
    497,899.38x = 687,098.01 × 283,039.44
  4. Step 4: Simplify right side
    497,899.38x = 194,475,835,975.51
  5. Step 5: Solve for x
    x = 194,475,835,975.51/497,899.38
  6. Step 6: Final answer
    x = 390,592.65

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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.