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Finding the Fourth Proportional to 632,364.30, 948,218.40 and 232,799.40

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Solution

The fourth proportional to 632,364.30, 948,218.40 and 232,799.40 is: 349,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,364.30 : 948,218.40 = 232,799.40 : x
  2. Step 2: Convert to fraction form
    632,364.30/948,218.40 = 232,799.40/x
  3. Step 3: Cross multiply
    632,364.30x = 948,218.40 × 232,799.40
  4. Step 4: Simplify right side
    632,364.30x = 220,744,674,588.96
  5. Step 5: Solve for x
    x = 220,744,674,588.96/632,364.30
  6. Step 6: Final answer
    x = 349,078.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.