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Finding the Fourth Proportional to 231,336.80, 346,616.40 and 152,410.40

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Solution

The fourth proportional to 231,336.80, 346,616.40 and 152,410.40 is: 228,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,336.80 : 346,616.40 = 152,410.40 : x
  2. Step 2: Convert to fraction form
    231,336.80/346,616.40 = 152,410.40/x
  3. Step 3: Cross multiply
    231,336.80x = 346,616.40 × 152,410.40
  4. Step 4: Simplify right side
    231,336.80x = 52,827,944,170.56
  5. Step 5: Solve for x
    x = 52,827,944,170.56/231,336.80
  6. Step 6: Final answer
    x = 228,359.45

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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.