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Finding the Fourth Proportional to 340,743.16, 510,152.46 and 180,455.50

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Solution

The fourth proportional to 340,743.16, 510,152.46 and 180,455.50 is: 270,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,743.16 : 510,152.46 = 180,455.50 : x
  2. Step 2: Convert to fraction form
    340,743.16/510,152.46 = 180,455.50/x
  3. Step 3: Cross multiply
    340,743.16x = 510,152.46 × 180,455.50
  4. Step 4: Simplify right side
    340,743.16x = 92,059,817,245.53
  5. Step 5: Solve for x
    x = 92,059,817,245.53/340,743.16
  6. Step 6: Final answer
    x = 270,173.63

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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.