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Finding the Fourth Proportional to 442,168.64, 610,397.60 and 260,819.52

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Solution

The fourth proportional to 442,168.64, 610,397.60 and 260,819.52 is: 360,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,168.64 : 610,397.60 = 260,819.52 : x
  2. Step 2: Convert to fraction form
    442,168.64/610,397.60 = 260,819.52/x
  3. Step 3: Cross multiply
    442,168.64x = 610,397.60 × 260,819.52
  4. Step 4: Simplify right side
    442,168.64x = 159,203,609,041.15
  5. Step 5: Solve for x
    x = 159,203,609,041.15/442,168.64
  6. Step 6: Final answer
    x = 360,051.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.