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Finding the Fourth Proportional to 232,145.40, 325,594.05 and 232,145.40

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Solution

The fourth proportional to 232,145.40, 325,594.05 and 232,145.40 is: 325,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,145.40 : 325,594.05 = 232,145.40 : x
  2. Step 2: Convert to fraction form
    232,145.40/325,594.05 = 232,145.40/x
  3. Step 3: Cross multiply
    232,145.40x = 325,594.05 × 232,145.40
  4. Step 4: Simplify right side
    232,145.40x = 75,585,160,974.87
  5. Step 5: Solve for x
    x = 75,585,160,974.87/232,145.40
  6. Step 6: Final answer
    x = 325,594.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.