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Finding the Fourth Proportional to 314,900.98, 472,453.47 and 188,521.46

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Solution

The fourth proportional to 314,900.98, 472,453.47 and 188,521.46 is: 282,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,900.98 : 472,453.47 = 188,521.46 : x
  2. Step 2: Convert to fraction form
    314,900.98/472,453.47 = 188,521.46/x
  3. Step 3: Cross multiply
    314,900.98x = 472,453.47 × 188,521.46
  4. Step 4: Simplify right side
    314,900.98x = 89,067,617,946.47
  5. Step 5: Solve for x
    x = 89,067,617,946.47/314,900.98
  6. Step 6: Final answer
    x = 282,843.25

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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.