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Finding the Fourth Proportional to 326,093.16, 488,718.68 and 146,047

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Solution

The fourth proportional to 326,093.16, 488,718.68 and 146,047 is: 218,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,093.16 : 488,718.68 = 146,047 : x
  2. Step 2: Convert to fraction form
    326,093.16/488,718.68 = 146,047/x
  3. Step 3: Cross multiply
    326,093.16x = 488,718.68 × 146,047
  4. Step 4: Simplify right side
    326,093.16x = 71,375,897,057.96
  5. Step 5: Solve for x
    x = 71,375,897,057.96/326,093.16
  6. Step 6: Final answer
    x = 218,881.92

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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.