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Finding the Fourth Proportional to 410,558.04, 566,057.66 and 313,881.70

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Solution

The fourth proportional to 410,558.04, 566,057.66 and 313,881.70 is: 432,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,558.04 : 566,057.66 = 313,881.70 : x
  2. Step 2: Convert to fraction form
    410,558.04/566,057.66 = 313,881.70/x
  3. Step 3: Cross multiply
    410,558.04x = 566,057.66 × 313,881.70
  4. Step 4: Simplify right side
    410,558.04x = 177,675,140,618.82
  5. Step 5: Solve for x
    x = 177,675,140,618.82/410,558.04
  6. Step 6: Final answer
    x = 432,764.98

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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.