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Finding the Fourth Proportional to 334,460.52, 501,737.82 and 97,821

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Solution

The fourth proportional to 334,460.52, 501,737.82 and 97,821 is: 146,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,460.52 : 501,737.82 = 97,821 : x
  2. Step 2: Convert to fraction form
    334,460.52/501,737.82 = 97,821/x
  3. Step 3: Cross multiply
    334,460.52x = 501,737.82 × 97,821
  4. Step 4: Simplify right side
    334,460.52x = 49,080,495,290.22
  5. Step 5: Solve for x
    x = 49,080,495,290.22/334,460.52
  6. Step 6: Final answer
    x = 146,745.26

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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.