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Finding the Fourth Proportional to 307,585.95, 461,376.15 and 97,223.95

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Solution

The fourth proportional to 307,585.95, 461,376.15 and 97,223.95 is: 145,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,585.95 : 461,376.15 = 97,223.95 : x
  2. Step 2: Convert to fraction form
    307,585.95/461,376.15 = 97,223.95/x
  3. Step 3: Cross multiply
    307,585.95x = 461,376.15 × 97,223.95
  4. Step 4: Simplify right side
    307,585.95x = 44,856,811,738.79
  5. Step 5: Solve for x
    x = 44,856,811,738.79/307,585.95
  6. Step 6: Final answer
    x = 145,835.05

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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.