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Finding the Fourth Proportional to 342,457.67, 472,559.42 and 231,851.33

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Solution

The fourth proportional to 342,457.67, 472,559.42 and 231,851.33 is: 319,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,457.67 : 472,559.42 = 231,851.33 : x
  2. Step 2: Convert to fraction form
    342,457.67/472,559.42 = 231,851.33/x
  3. Step 3: Cross multiply
    342,457.67x = 472,559.42 × 231,851.33
  4. Step 4: Simplify right side
    342,457.67x = 109,563,528,715.79
  5. Step 5: Solve for x
    x = 109,563,528,715.79/342,457.67
  6. Step 6: Final answer
    x = 319,933.05

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Why These Related Problems?

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