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Finding the Fourth Proportional to 472,915.82, 709,486.26 and 153,067.67

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Solution

The fourth proportional to 472,915.82, 709,486.26 and 153,067.67 is: 229,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,915.82 : 709,486.26 = 153,067.67 : x
  2. Step 2: Convert to fraction form
    472,915.82/709,486.26 = 153,067.67/x
  3. Step 3: Cross multiply
    472,915.82x = 709,486.26 × 153,067.67
  4. Step 4: Simplify right side
    472,915.82x = 108,599,412,536.72
  5. Step 5: Solve for x
    x = 108,599,412,536.72/472,915.82
  6. Step 6: Final answer
    x = 229,637.94

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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.