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Finding the Fourth Proportional to 412,776.87, 569,390.31 and 259,572.66

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Solution

The fourth proportional to 412,776.87, 569,390.31 and 259,572.66 is: 358,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,776.87 : 569,390.31 = 259,572.66 : x
  2. Step 2: Convert to fraction form
    412,776.87/569,390.31 = 259,572.66/x
  3. Step 3: Cross multiply
    412,776.87x = 569,390.31 × 259,572.66
  4. Step 4: Simplify right side
    412,776.87x = 147,798,157,344.93
  5. Step 5: Solve for x
    x = 147,798,157,344.93/412,776.87
  6. Step 6: Final answer
    x = 358,058.23

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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.