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Finding the Fourth Proportional to 340,097.60, 510,146.40 and 228,123.20

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Solution

The fourth proportional to 340,097.60, 510,146.40 and 228,123.20 is: 342,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,097.60 : 510,146.40 = 228,123.20 : x
  2. Step 2: Convert to fraction form
    340,097.60/510,146.40 = 228,123.20/x
  3. Step 3: Cross multiply
    340,097.60x = 510,146.40 × 228,123.20
  4. Step 4: Simplify right side
    340,097.60x = 116,376,229,236.48
  5. Step 5: Solve for x
    x = 116,376,229,236.48/340,097.60
  6. Step 6: Final answer
    x = 342,184.80

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Why These Related Problems?

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