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Finding the Fourth Proportional to 410,113.90, 565,943.92 and 223,838.22

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Solution

The fourth proportional to 410,113.90, 565,943.92 and 223,838.22 is: 308,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,113.90 : 565,943.92 = 223,838.22 : x
  2. Step 2: Convert to fraction form
    410,113.90/565,943.92 = 223,838.22/x
  3. Step 3: Cross multiply
    410,113.90x = 565,943.92 × 223,838.22
  4. Step 4: Simplify right side
    410,113.90x = 126,679,881,235.32
  5. Step 5: Solve for x
    x = 126,679,881,235.32/410,113.90
  6. Step 6: Final answer
    x = 308,889.51

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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.