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Finding the Fourth Proportional to 410,063.46, 565,887.93 and 228,775.43

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Solution

The fourth proportional to 410,063.46, 565,887.93 and 228,775.43 is: 315,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,063.46 : 565,887.93 = 228,775.43 : x
  2. Step 2: Convert to fraction form
    410,063.46/565,887.93 = 228,775.43/x
  3. Step 3: Cross multiply
    410,063.46x = 565,887.93 × 228,775.43
  4. Step 4: Simplify right side
    410,063.46x = 129,461,256,790.19
  5. Step 5: Solve for x
    x = 129,461,256,790.19/410,063.46
  6. Step 6: Final answer
    x = 315,710.29

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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.