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Finding the Fourth Proportional to 258,464.32, 387,621.60 and 100,657.60

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Solution

The fourth proportional to 258,464.32, 387,621.60 and 100,657.60 is: 150,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,464.32 : 387,621.60 = 100,657.60 : x
  2. Step 2: Convert to fraction form
    258,464.32/387,621.60 = 100,657.60/x
  3. Step 3: Cross multiply
    258,464.32x = 387,621.60 × 100,657.60
  4. Step 4: Simplify right side
    258,464.32x = 39,017,059,964.16
  5. Step 5: Solve for x
    x = 39,017,059,964.16/258,464.32
  6. Step 6: Final answer
    x = 150,957.24

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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.