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Finding the Fourth Proportional to 349,282, 482,009.16 and 190,306

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Solution

The fourth proportional to 349,282, 482,009.16 and 190,306 is: 262,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,282 : 482,009.16 = 190,306 : x
  2. Step 2: Convert to fraction form
    349,282/482,009.16 = 190,306/x
  3. Step 3: Cross multiply
    349,282x = 482,009.16 × 190,306
  4. Step 4: Simplify right side
    349,282x = 91,729,235,202.96
  5. Step 5: Solve for x
    x = 91,729,235,202.96/349,282
  6. Step 6: Final answer
    x = 262,622.28

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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.