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Finding the Fourth Proportional to 307,812.60, 461,718.90 and 174,952.35

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Solution

The fourth proportional to 307,812.60, 461,718.90 and 174,952.35 is: 262,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,812.60 : 461,718.90 = 174,952.35 : x
  2. Step 2: Convert to fraction form
    307,812.60/461,718.90 = 174,952.35/x
  3. Step 3: Cross multiply
    307,812.60x = 461,718.90 × 174,952.35
  4. Step 4: Simplify right side
    307,812.60x = 80,778,806,594.42
  5. Step 5: Solve for x
    x = 80,778,806,594.42/307,812.60
  6. Step 6: Final answer
    x = 262,428.53

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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.