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Finding the Fourth Proportional to 315,222.84, 472,568.13 and 146,656.14

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Solution

The fourth proportional to 315,222.84, 472,568.13 and 146,656.14 is: 219,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,222.84 : 472,568.13 = 146,656.14 : x
  2. Step 2: Convert to fraction form
    315,222.84/472,568.13 = 146,656.14/x
  3. Step 3: Cross multiply
    315,222.84x = 472,568.13 × 146,656.14
  4. Step 4: Simplify right side
    315,222.84x = 69,305,017,832.82
  5. Step 5: Solve for x
    x = 69,305,017,832.82/315,222.84
  6. Step 6: Final answer
    x = 219,860.39

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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.