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Finding the Fourth Proportional to 601,212, 901,956.24 and 207,228

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Solution

The fourth proportional to 601,212, 901,956.24 and 207,228 is: 310,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,212 : 901,956.24 = 207,228 : x
  2. Step 2: Convert to fraction form
    601,212/901,956.24 = 207,228/x
  3. Step 3: Cross multiply
    601,212x = 901,956.24 × 207,228
  4. Step 4: Simplify right side
    601,212x = 186,910,587,702.72
  5. Step 5: Solve for x
    x = 186,910,587,702.72/601,212
  6. Step 6: Final answer
    x = 310,889.65

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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.