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Finding the Fourth Proportional to 295,269.90, 442,904.85 and 275,441.10

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Solution

The fourth proportional to 295,269.90, 442,904.85 and 275,441.10 is: 413,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,269.90 : 442,904.85 = 275,441.10 : x
  2. Step 2: Convert to fraction form
    295,269.90/442,904.85 = 275,441.10/x
  3. Step 3: Cross multiply
    295,269.90x = 442,904.85 × 275,441.10
  4. Step 4: Simplify right side
    295,269.90x = 121,994,199,079.34
  5. Step 5: Solve for x
    x = 121,994,199,079.34/295,269.90
  6. Step 6: Final answer
    x = 413,161.65

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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.