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Finding the Fourth Proportional to 462,803.40, 694,205.10 and 336,176.10

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Solution

The fourth proportional to 462,803.40, 694,205.10 and 336,176.10 is: 504,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,803.40 : 694,205.10 = 336,176.10 : x
  2. Step 2: Convert to fraction form
    462,803.40/694,205.10 = 336,176.10/x
  3. Step 3: Cross multiply
    462,803.40x = 694,205.10 × 336,176.10
  4. Step 4: Simplify right side
    462,803.40x = 233,375,163,118.11
  5. Step 5: Solve for x
    x = 233,375,163,118.11/462,803.40
  6. Step 6: Final answer
    x = 504,264.15

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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.