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Finding the Fourth Proportional to 334,376.34, 501,520.56 and 97,742.94

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Solution

The fourth proportional to 334,376.34, 501,520.56 and 97,742.94 is: 146,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,376.34 : 501,520.56 = 97,742.94 : x
  2. Step 2: Convert to fraction form
    334,376.34/501,520.56 = 97,742.94/x
  3. Step 3: Cross multiply
    334,376.34x = 501,520.56 × 97,742.94
  4. Step 4: Simplify right side
    334,376.34x = 49,020,094,004.85
  5. Step 5: Solve for x
    x = 49,020,094,004.85/334,376.34
  6. Step 6: Final answer
    x = 146,601.56

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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.