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Finding the Fourth Proportional to 295,252.60, 442,943.70 and 145,564.60

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Solution

The fourth proportional to 295,252.60, 442,943.70 and 145,564.60 is: 218,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,252.60 : 442,943.70 = 145,564.60 : x
  2. Step 2: Convert to fraction form
    295,252.60/442,943.70 = 145,564.60/x
  3. Step 3: Cross multiply
    295,252.60x = 442,943.70 × 145,564.60
  4. Step 4: Simplify right side
    295,252.60x = 64,476,922,513.02
  5. Step 5: Solve for x
    x = 64,476,922,513.02/295,252.60
  6. Step 6: Final answer
    x = 218,378.85

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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.