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Finding the Fourth Proportional to 391,411.50, 540,148.23 and 212,563.50

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Solution

The fourth proportional to 391,411.50, 540,148.23 and 212,563.50 is: 293,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,411.50 : 540,148.23 = 212,563.50 : x
  2. Step 2: Convert to fraction form
    391,411.50/540,148.23 = 212,563.50/x
  3. Step 3: Cross multiply
    391,411.50x = 540,148.23 × 212,563.50
  4. Step 4: Simplify right side
    391,411.50x = 114,815,798,287.61
  5. Step 5: Solve for x
    x = 114,815,798,287.61/391,411.50
  6. Step 6: Final answer
    x = 293,337.83

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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.