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Finding the Fourth Proportional to 377,038.66, 520,322.21 and 204,966.41

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Solution

The fourth proportional to 377,038.66, 520,322.21 and 204,966.41 is: 282,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,038.66 : 520,322.21 = 204,966.41 : x
  2. Step 2: Convert to fraction form
    377,038.66/520,322.21 = 204,966.41/x
  3. Step 3: Cross multiply
    377,038.66x = 520,322.21 × 204,966.41
  4. Step 4: Simplify right side
    377,038.66x = 106,648,575,426.97
  5. Step 5: Solve for x
    x = 106,648,575,426.97/377,038.66
  6. Step 6: Final answer
    x = 282,858.46

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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.