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Finding the Fourth Proportional to 410,097.64, 565,933.96 and 228,798.79

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Solution

The fourth proportional to 410,097.64, 565,933.96 and 228,798.79 is: 315,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,097.64 : 565,933.96 = 228,798.79 : x
  2. Step 2: Convert to fraction form
    410,097.64/565,933.96 = 228,798.79/x
  3. Step 3: Cross multiply
    410,097.64x = 565,933.96 × 228,798.79
  4. Step 4: Simplify right side
    410,097.64x = 129,485,005,267.91
  5. Step 5: Solve for x
    x = 129,485,005,267.91/410,097.64
  6. Step 6: Final answer
    x = 315,741.89

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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.