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Finding the Fourth Proportional to 349,597.80, 524,416.22 and 100,273

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Solution

The fourth proportional to 349,597.80, 524,416.22 and 100,273 is: 150,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,597.80 : 524,416.22 = 100,273 : x
  2. Step 2: Convert to fraction form
    349,597.80/524,416.22 = 100,273/x
  3. Step 3: Cross multiply
    349,597.80x = 524,416.22 × 100,273
  4. Step 4: Simplify right side
    349,597.80x = 52,584,787,628.06
  5. Step 5: Solve for x
    x = 52,584,787,628.06/349,597.80
  6. Step 6: Final answer
    x = 150,415.10

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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.