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Finding the Fourth Proportional to 334,497, 501,745.50 and 112,881

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Solution

The fourth proportional to 334,497, 501,745.50 and 112,881 is: 169,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,497 : 501,745.50 = 112,881 : x
  2. Step 2: Convert to fraction form
    334,497/501,745.50 = 112,881/x
  3. Step 3: Cross multiply
    334,497x = 501,745.50 × 112,881
  4. Step 4: Simplify right side
    334,497x = 56,637,533,785.50
  5. Step 5: Solve for x
    x = 56,637,533,785.50/334,497
  6. Step 6: Final answer
    x = 169,321.50

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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.