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Finding the Fourth Proportional to 297,475.98, 446,119.38 and 97,750.14

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Solution

The fourth proportional to 297,475.98, 446,119.38 and 97,750.14 is: 146,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,475.98 : 446,119.38 = 97,750.14 : x
  2. Step 2: Convert to fraction form
    297,475.98/446,119.38 = 97,750.14/x
  3. Step 3: Cross multiply
    297,475.98x = 446,119.38 × 97,750.14
  4. Step 4: Simplify right side
    297,475.98x = 43,608,231,851.71
  5. Step 5: Solve for x
    x = 43,608,231,851.71/297,475.98
  6. Step 6: Final answer
    x = 146,594.13

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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.