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Finding the Fourth Proportional to 452,234.70, 677,880 and 152,612.10

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Solution

The fourth proportional to 452,234.70, 677,880 and 152,612.10 is: 228,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,234.70 : 677,880 = 152,612.10 : x
  2. Step 2: Convert to fraction form
    452,234.70/677,880 = 152,612.10/x
  3. Step 3: Cross multiply
    452,234.70x = 677,880 × 152,612.10
  4. Step 4: Simplify right side
    452,234.70x = 103,452,690,348
  5. Step 5: Solve for x
    x = 103,452,690,348/452,234.70
  6. Step 6: Final answer
    x = 228,758.85

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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.