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Finding the Fourth Proportional to 370,035.23, 510,650.13 and 200,269.31

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Solution

The fourth proportional to 370,035.23, 510,650.13 and 200,269.31 is: 276,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,035.23 : 510,650.13 = 200,269.31 : x
  2. Step 2: Convert to fraction form
    370,035.23/510,650.13 = 200,269.31/x
  3. Step 3: Cross multiply
    370,035.23x = 510,650.13 × 200,269.31
  4. Step 4: Simplify right side
    370,035.23x = 102,267,549,186.51
  5. Step 5: Solve for x
    x = 102,267,549,186.51/370,035.23
  6. Step 6: Final answer
    x = 276,372.47

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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.