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Finding the Fourth Proportional to 295,114.42, 442,670.67 and 176,821.30

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Solution

The fourth proportional to 295,114.42, 442,670.67 and 176,821.30 is: 265,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,114.42 : 442,670.67 = 176,821.30 : x
  2. Step 2: Convert to fraction form
    295,114.42/442,670.67 = 176,821.30/x
  3. Step 3: Cross multiply
    295,114.42x = 442,670.67 × 176,821.30
  4. Step 4: Simplify right side
    295,114.42x = 78,273,603,341.27
  5. Step 5: Solve for x
    x = 78,273,603,341.27/295,114.42
  6. Step 6: Final answer
    x = 265,231.37

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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.