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Finding the Fourth Proportional to 498,102.40, 687,434.25 and 304,623.29

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Solution

The fourth proportional to 498,102.40, 687,434.25 and 304,623.29 is: 420,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,102.40 : 687,434.25 = 304,623.29 : x
  2. Step 2: Convert to fraction form
    498,102.40/687,434.25 = 304,623.29/x
  3. Step 3: Cross multiply
    498,102.40x = 687,434.25 × 304,623.29
  4. Step 4: Simplify right side
    498,102.40x = 209,408,482,893.68
  5. Step 5: Solve for x
    x = 209,408,482,893.68/498,102.40
  6. Step 6: Final answer
    x = 420,412.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.