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Finding the Fourth Proportional to 349,306.40, 523,441.20 and 296,429.60

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Solution

The fourth proportional to 349,306.40, 523,441.20 and 296,429.60 is: 444,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,306.40 : 523,441.20 = 296,429.60 : x
  2. Step 2: Convert to fraction form
    349,306.40/523,441.20 = 296,429.60/x
  3. Step 3: Cross multiply
    349,306.40x = 523,441.20 × 296,429.60
  4. Step 4: Simplify right side
    349,306.40x = 155,163,465,539.52
  5. Step 5: Solve for x
    x = 155,163,465,539.52/349,306.40
  6. Step 6: Final answer
    x = 444,204.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.