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Finding the Fourth Proportional to 472,984.13, 652,731.93 and 258,137.97

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Solution

The fourth proportional to 472,984.13, 652,731.93 and 258,137.97 is: 356,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,984.13 : 652,731.93 = 258,137.97 : x
  2. Step 2: Convert to fraction form
    472,984.13/652,731.93 = 258,137.97/x
  3. Step 3: Cross multiply
    472,984.13x = 652,731.93 × 258,137.97
  4. Step 4: Simplify right side
    472,984.13x = 168,494,895,364.38
  5. Step 5: Solve for x
    x = 168,494,895,364.38/472,984.13
  6. Step 6: Final answer
    x = 356,237.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.