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Finding the Fourth Proportional to 334,085.58, 501,202.08 and 97,446.78

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Solution

The fourth proportional to 334,085.58, 501,202.08 and 97,446.78 is: 146,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,085.58 : 501,202.08 = 97,446.78 : x
  2. Step 2: Convert to fraction form
    334,085.58/501,202.08 = 97,446.78/x
  3. Step 3: Cross multiply
    334,085.58x = 501,202.08 × 97,446.78
  4. Step 4: Simplify right side
    334,085.58x = 48,840,528,825.30
  5. Step 5: Solve for x
    x = 48,840,528,825.30/334,085.58
  6. Step 6: Final answer
    x = 146,191.67

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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.