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Finding the Fourth Proportional to 345,369, 518,029.74 and 212,269.80

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Solution

The fourth proportional to 345,369, 518,029.74 and 212,269.80 is: 318,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,369 : 518,029.74 = 212,269.80 : x
  2. Step 2: Convert to fraction form
    345,369/518,029.74 = 212,269.80/x
  3. Step 3: Cross multiply
    345,369x = 518,029.74 × 212,269.80
  4. Step 4: Simplify right side
    345,369x = 109,962,069,303.85
  5. Step 5: Solve for x
    x = 109,962,069,303.85/345,369
  6. Step 6: Final answer
    x = 318,390.10

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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.