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Finding the Fourth Proportional to 299,153.40, 448,730.10 and 228,294.60

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Solution

The fourth proportional to 299,153.40, 448,730.10 and 228,294.60 is: 342,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,153.40 : 448,730.10 = 228,294.60 : x
  2. Step 2: Convert to fraction form
    299,153.40/448,730.10 = 228,294.60/x
  3. Step 3: Cross multiply
    299,153.40x = 448,730.10 × 228,294.60
  4. Step 4: Simplify right side
    299,153.40x = 102,442,658,687.46
  5. Step 5: Solve for x
    x = 102,442,658,687.46/299,153.40
  6. Step 6: Final answer
    x = 342,441.90

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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.