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Finding the Fourth Proportional to 325,643.10, 488,464.65 and 148,496.10

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Solution

The fourth proportional to 325,643.10, 488,464.65 and 148,496.10 is: 222,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,643.10 : 488,464.65 = 148,496.10 : x
  2. Step 2: Convert to fraction form
    325,643.10/488,464.65 = 148,496.10/x
  3. Step 3: Cross multiply
    325,643.10x = 488,464.65 × 148,496.10
  4. Step 4: Simplify right side
    325,643.10x = 72,535,095,512.87
  5. Step 5: Solve for x
    x = 72,535,095,512.87/325,643.10
  6. Step 6: Final answer
    x = 222,744.15

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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.