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Finding the Fourth Proportional to 487,679.82, 672,626.07 and 419,808.30

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Solution

The fourth proportional to 487,679.82, 672,626.07 and 419,808.30 is: 579,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,679.82 : 672,626.07 = 419,808.30 : x
  2. Step 2: Convert to fraction form
    487,679.82/672,626.07 = 419,808.30/x
  3. Step 3: Cross multiply
    487,679.82x = 672,626.07 × 419,808.30
  4. Step 4: Simplify right side
    487,679.82x = 282,374,006,982.38
  5. Step 5: Solve for x
    x = 282,374,006,982.38/487,679.82
  6. Step 6: Final answer
    x = 579,015.16

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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.