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Finding the Fourth Proportional to 334,459.52, 501,736.32 and 97,820

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Solution

The fourth proportional to 334,459.52, 501,736.32 and 97,820 is: 146,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,459.52 : 501,736.32 = 97,820 : x
  2. Step 2: Convert to fraction form
    334,459.52/501,736.32 = 97,820/x
  3. Step 3: Cross multiply
    334,459.52x = 501,736.32 × 97,820
  4. Step 4: Simplify right side
    334,459.52x = 49,079,846,822.40
  5. Step 5: Solve for x
    x = 49,079,846,822.40/334,459.52
  6. Step 6: Final answer
    x = 146,743.76

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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.