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Finding the Fourth Proportional to 297,637.75, 446,521.29 and 97,978.42

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Solution

The fourth proportional to 297,637.75, 446,521.29 and 97,978.42 is: 146,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,637.75 : 446,521.29 = 97,978.42 : x
  2. Step 2: Convert to fraction form
    297,637.75/446,521.29 = 97,978.42/x
  3. Step 3: Cross multiply
    297,637.75x = 446,521.29 × 97,978.42
  4. Step 4: Simplify right side
    297,637.75x = 43,749,450,490.56
  5. Step 5: Solve for x
    x = 43,749,450,490.56/297,637.75
  6. Step 6: Final answer
    x = 146,988.92

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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.