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Finding the Fourth Proportional to 418,713.21, 627,569.46 and 152,161.65

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Solution

The fourth proportional to 418,713.21, 627,569.46 and 152,161.65 is: 228,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,713.21 : 627,569.46 = 152,161.65 : x
  2. Step 2: Convert to fraction form
    418,713.21/627,569.46 = 152,161.65/x
  3. Step 3: Cross multiply
    418,713.21x = 627,569.46 × 152,161.65
  4. Step 4: Simplify right side
    418,713.21x = 95,492,004,523.21
  5. Step 5: Solve for x
    x = 95,492,004,523.21/418,713.21
  6. Step 6: Final answer
    x = 228,060.64

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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.