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Finding the Fourth Proportional to 290,823.67, 401,374.02 and 163,523.85

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Solution

The fourth proportional to 290,823.67, 401,374.02 and 163,523.85 is: 225,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,823.67 : 401,374.02 = 163,523.85 : x
  2. Step 2: Convert to fraction form
    290,823.67/401,374.02 = 163,523.85/x
  3. Step 3: Cross multiply
    290,823.67x = 401,374.02 × 163,523.85
  4. Step 4: Simplify right side
    290,823.67x = 65,634,225,040.38
  5. Step 5: Solve for x
    x = 65,634,225,040.38/290,823.67
  6. Step 6: Final answer
    x = 225,683.92

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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.