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Finding the Fourth Proportional to 469,934.34, 705,021.66 and 154,393.98

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Solution

The fourth proportional to 469,934.34, 705,021.66 and 154,393.98 is: 231,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,934.34 : 705,021.66 = 154,393.98 : x
  2. Step 2: Convert to fraction form
    469,934.34/705,021.66 = 154,393.98/x
  3. Step 3: Cross multiply
    469,934.34x = 705,021.66 × 154,393.98
  4. Step 4: Simplify right side
    469,934.34x = 108,851,100,073.61
  5. Step 5: Solve for x
    x = 108,851,100,073.61/469,934.34
  6. Step 6: Final answer
    x = 231,630.44

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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.