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Finding the Fourth Proportional to 343,895.60, 515,843.40 and 144,149.60

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Solution

The fourth proportional to 343,895.60, 515,843.40 and 144,149.60 is: 216,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,895.60 : 515,843.40 = 144,149.60 : x
  2. Step 2: Convert to fraction form
    343,895.60/515,843.40 = 144,149.60/x
  3. Step 3: Cross multiply
    343,895.60x = 515,843.40 × 144,149.60
  4. Step 4: Simplify right side
    343,895.60x = 74,358,619,772.64
  5. Step 5: Solve for x
    x = 74,358,619,772.64/343,895.60
  6. Step 6: Final answer
    x = 216,224.40

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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.