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Finding the Fourth Proportional to 409,619.83, 565,267.26 and 228,320.95

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Solution

The fourth proportional to 409,619.83, 565,267.26 and 228,320.95 is: 315,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,619.83 : 565,267.26 = 228,320.95 : x
  2. Step 2: Convert to fraction form
    409,619.83/565,267.26 = 228,320.95/x
  3. Step 3: Cross multiply
    409,619.83x = 565,267.26 × 228,320.95
  4. Step 4: Simplify right side
    409,619.83x = 129,062,357,807.10
  5. Step 5: Solve for x
    x = 129,062,357,807.10/409,619.83
  6. Step 6: Final answer
    x = 315,078.39

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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.