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Finding the Fourth Proportional to 472,097.70, 707,642.22 and 269,257.08

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Solution

The fourth proportional to 472,097.70, 707,642.22 and 269,257.08 is: 403,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,097.70 : 707,642.22 = 269,257.08 : x
  2. Step 2: Convert to fraction form
    472,097.70/707,642.22 = 269,257.08/x
  3. Step 3: Cross multiply
    472,097.70x = 707,642.22 × 269,257.08
  4. Step 4: Simplify right side
    472,097.70x = 190,537,677,841.92
  5. Step 5: Solve for x
    x = 190,537,677,841.92/472,097.70
  6. Step 6: Final answer
    x = 403,597.98

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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.