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Finding the Fourth Proportional to 334,144.64, 501,208.62 and 97,489.40

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Solution

The fourth proportional to 334,144.64, 501,208.62 and 97,489.40 is: 146,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,144.64 : 501,208.62 = 97,489.40 : x
  2. Step 2: Convert to fraction form
    334,144.64/501,208.62 = 97,489.40/x
  3. Step 3: Cross multiply
    334,144.64x = 501,208.62 × 97,489.40
  4. Step 4: Simplify right side
    334,144.64x = 48,862,527,638.63
  5. Step 5: Solve for x
    x = 48,862,527,638.63/334,144.64
  6. Step 6: Final answer
    x = 146,231.67

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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.