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Finding the Fourth Proportional to 265,536.60, 398,304.90 and 160,301.40

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Solution

The fourth proportional to 265,536.60, 398,304.90 and 160,301.40 is: 240,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,536.60 : 398,304.90 = 160,301.40 : x
  2. Step 2: Convert to fraction form
    265,536.60/398,304.90 = 160,301.40/x
  3. Step 3: Cross multiply
    265,536.60x = 398,304.90 × 160,301.40
  4. Step 4: Simplify right side
    265,536.60x = 63,848,833,096.86
  5. Step 5: Solve for x
    x = 63,848,833,096.86/265,536.60
  6. Step 6: Final answer
    x = 240,452.10

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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.