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Finding the Fourth Proportional to 377,006.36, 520,259.64 and 204,920.24

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Solution

The fourth proportional to 377,006.36, 520,259.64 and 204,920.24 is: 282,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,006.36 : 520,259.64 = 204,920.24 : x
  2. Step 2: Convert to fraction form
    377,006.36/520,259.64 = 204,920.24/x
  3. Step 3: Cross multiply
    377,006.36x = 520,259.64 × 204,920.24
  4. Step 4: Simplify right side
    377,006.36x = 106,611,730,291.11
  5. Step 5: Solve for x
    x = 106,611,730,291.11/377,006.36
  6. Step 6: Final answer
    x = 282,784.96

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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.