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Finding the Fourth Proportional to 421,533.33, 632,333 and 122,018.41

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Solution

The fourth proportional to 421,533.33, 632,333 and 122,018.41 is: 183,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,533.33 : 632,333 = 122,018.41 : x
  2. Step 2: Convert to fraction form
    421,533.33/632,333 = 122,018.41/x
  3. Step 3: Cross multiply
    421,533.33x = 632,333 × 122,018.41
  4. Step 4: Simplify right side
    421,533.33x = 77,156,267,250.53
  5. Step 5: Solve for x
    x = 77,156,267,250.53/421,533.33
  6. Step 6: Final answer
    x = 183,037.17

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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.