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Finding the Fourth Proportional to 307,586.45, 461,376.90 and 97,224.45

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Solution

The fourth proportional to 307,586.45, 461,376.90 and 97,224.45 is: 145,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,586.45 : 461,376.90 = 97,224.45 : x
  2. Step 2: Convert to fraction form
    307,586.45/461,376.90 = 97,224.45/x
  3. Step 3: Cross multiply
    307,586.45x = 461,376.90 × 97,224.45
  4. Step 4: Simplify right side
    307,586.45x = 44,857,115,345.21
  5. Step 5: Solve for x
    x = 44,857,115,345.21/307,586.45
  6. Step 6: Final answer
    x = 145,835.80

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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.