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Finding the Fourth Proportional to 441,117.32, 661,741.60 and 204,483.92

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Solution

The fourth proportional to 441,117.32, 661,741.60 and 204,483.92 is: 306,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,117.32 : 661,741.60 = 204,483.92 : x
  2. Step 2: Convert to fraction form
    441,117.32/661,741.60 = 204,483.92/x
  3. Step 3: Cross multiply
    441,117.32x = 661,741.60 × 204,483.92
  4. Step 4: Simplify right side
    441,117.32x = 135,315,516,395.07
  5. Step 5: Solve for x
    x = 135,315,516,395.07/441,117.32
  6. Step 6: Final answer
    x = 306,756.30

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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.