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Finding the Fourth Proportional to 297,630.76, 446,510.80 and 97,971.42

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Solution

The fourth proportional to 297,630.76, 446,510.80 and 97,971.42 is: 146,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,630.76 : 446,510.80 = 97,971.42 : x
  2. Step 2: Convert to fraction form
    297,630.76/446,510.80 = 97,971.42/x
  3. Step 3: Cross multiply
    297,630.76x = 446,510.80 × 97,971.42
  4. Step 4: Simplify right side
    297,630.76x = 43,745,297,121.34
  5. Step 5: Solve for x
    x = 43,745,297,121.34/297,630.76
  6. Step 6: Final answer
    x = 146,978.41

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1.5x scale

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.