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Finding the Fourth Proportional to 410,013.34, 565,822.83 and 228,723.82

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Solution

The fourth proportional to 410,013.34, 565,822.83 and 228,723.82 is: 315,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,013.34 : 565,822.83 = 228,723.82 : x
  2. Step 2: Convert to fraction form
    410,013.34/565,822.83 = 228,723.82/x
  3. Step 3: Cross multiply
    410,013.34x = 565,822.83 × 228,723.82
  4. Step 4: Simplify right side
    410,013.34x = 129,417,159,120.81
  5. Step 5: Solve for x
    x = 129,417,159,120.81/410,013.34
  6. Step 6: Final answer
    x = 315,641.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.