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Finding the Fourth Proportional to 497,881.51, 686,958.38 and 283,004.66

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Solution

The fourth proportional to 497,881.51, 686,958.38 and 283,004.66 is: 390,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,881.51 : 686,958.38 = 283,004.66 : x
  2. Step 2: Convert to fraction form
    497,881.51/686,958.38 = 283,004.66/x
  3. Step 3: Cross multiply
    497,881.51x = 686,958.38 × 283,004.66
  4. Step 4: Simplify right side
    497,881.51x = 194,412,419,331.26
  5. Step 5: Solve for x
    x = 194,412,419,331.26/497,881.51
  6. Step 6: Final answer
    x = 390,479.30

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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.