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Finding the Fourth Proportional to 309,852.30, 464,864.85 and 132,444.30

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Solution

The fourth proportional to 309,852.30, 464,864.85 and 132,444.30 is: 198,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,852.30 : 464,864.85 = 132,444.30 : x
  2. Step 2: Convert to fraction form
    309,852.30/464,864.85 = 132,444.30/x
  3. Step 3: Cross multiply
    309,852.30x = 464,864.85 × 132,444.30
  4. Step 4: Simplify right side
    309,852.30x = 61,568,699,652.86
  5. Step 5: Solve for x
    x = 61,568,699,652.86/309,852.30
  6. Step 6: Final answer
    x = 198,703.38

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