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Finding the Fourth Proportional to 464,680.40, 695,465.40 and 324,712.40

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Solution

The fourth proportional to 464,680.40, 695,465.40 and 324,712.40 is: 485,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,680.40 : 695,465.40 = 324,712.40 : x
  2. Step 2: Convert to fraction form
    464,680.40/695,465.40 = 324,712.40/x
  3. Step 3: Cross multiply
    464,680.40x = 695,465.40 × 324,712.40
  4. Step 4: Simplify right side
    464,680.40x = 225,826,239,150.96
  5. Step 5: Solve for x
    x = 225,826,239,150.96/464,680.40
  6. Step 6: Final answer
    x = 485,981.85

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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.