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Finding the Fourth Proportional to 722,569.50, 997,202.10 and 400,309.38

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Solution

The fourth proportional to 722,569.50, 997,202.10 and 400,309.38 is: 552,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,569.50 : 997,202.10 = 400,309.38 : x
  2. Step 2: Convert to fraction form
    722,569.50/997,202.10 = 400,309.38/x
  3. Step 3: Cross multiply
    722,569.50x = 997,202.10 × 400,309.38
  4. Step 4: Simplify right side
    722,569.50x = 399,189,354,385.70
  5. Step 5: Solve for x
    x = 399,189,354,385.70/722,569.50
  6. Step 6: Final answer
    x = 552,458.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.