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Finding the Fourth Proportional to 297,586.74, 446,330.76 and 97,909.56

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Solution

The fourth proportional to 297,586.74, 446,330.76 and 97,909.56 is: 146,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,586.74 : 446,330.76 = 97,909.56 : x
  2. Step 2: Convert to fraction form
    297,586.74/446,330.76 = 97,909.56/x
  3. Step 3: Cross multiply
    297,586.74x = 446,330.76 × 97,909.56
  4. Step 4: Simplify right side
    297,586.74x = 43,700,048,326.07
  5. Step 5: Solve for x
    x = 43,700,048,326.07/297,586.74
  6. Step 6: Final answer
    x = 146,848.10

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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.