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Finding the Fourth Proportional to 377,058.83, 520,344.56 and 204,977.12

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Solution

The fourth proportional to 377,058.83, 520,344.56 and 204,977.12 is: 282,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,058.83 : 520,344.56 = 204,977.12 : x
  2. Step 2: Convert to fraction form
    377,058.83/520,344.56 = 204,977.12/x
  3. Step 3: Cross multiply
    377,058.83x = 520,344.56 × 204,977.12
  4. Step 4: Simplify right side
    377,058.83x = 106,658,725,689.86
  5. Step 5: Solve for x
    x = 106,658,725,689.86/377,058.83
  6. Step 6: Final answer
    x = 282,870.25

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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.