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Finding the Fourth Proportional to 265,570.68, 398,433.78 and 78,587.04

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Solution

The fourth proportional to 265,570.68, 398,433.78 and 78,587.04 is: 117,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,570.68 : 398,433.78 = 78,587.04 : x
  2. Step 2: Convert to fraction form
    265,570.68/398,433.78 = 78,587.04/x
  3. Step 3: Cross multiply
    265,570.68x = 398,433.78 × 78,587.04
  4. Step 4: Simplify right side
    265,570.68x = 31,311,731,406.21
  5. Step 5: Solve for x
    x = 31,311,731,406.21/265,570.68
  6. Step 6: Final answer
    x = 117,903.57

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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.