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Finding the Fourth Proportional to 291,338.10, 402,046.38 and 170,502.42

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Solution

The fourth proportional to 291,338.10, 402,046.38 and 170,502.42 is: 235,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,338.10 : 402,046.38 = 170,502.42 : x
  2. Step 2: Convert to fraction form
    291,338.10/402,046.38 = 170,502.42/x
  3. Step 3: Cross multiply
    291,338.10x = 402,046.38 × 170,502.42
  4. Step 4: Simplify right side
    291,338.10x = 68,549,880,742.24
  5. Step 5: Solve for x
    x = 68,549,880,742.24/291,338.10
  6. Step 6: Final answer
    x = 235,293.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.