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Finding the Fourth Proportional to 433,402.40, 649,941.92 and 149,012.48

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Solution

The fourth proportional to 433,402.40, 649,941.92 and 149,012.48 is: 223,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,402.40 : 649,941.92 = 149,012.48 : x
  2. Step 2: Convert to fraction form
    433,402.40/649,941.92 = 149,012.48/x
  3. Step 3: Cross multiply
    433,402.40x = 649,941.92 × 149,012.48
  4. Step 4: Simplify right side
    433,402.40x = 96,849,457,355.16
  5. Step 5: Solve for x
    x = 96,849,457,355.16/433,402.40
  6. Step 6: Final answer
    x = 223,463.13

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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.