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Finding the Fourth Proportional to 295,534.40, 442,677.60 and 195,742.40

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Solution

The fourth proportional to 295,534.40, 442,677.60 and 195,742.40 is: 293,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,534.40 : 442,677.60 = 195,742.40 : x
  2. Step 2: Convert to fraction form
    295,534.40/442,677.60 = 195,742.40/x
  3. Step 3: Cross multiply
    295,534.40x = 442,677.60 × 195,742.40
  4. Step 4: Simplify right side
    295,534.40x = 86,650,775,850.24
  5. Step 5: Solve for x
    x = 86,650,775,850.24/295,534.40
  6. Step 6: Final answer
    x = 293,200.30

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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.