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Finding the Fourth Proportional to 410,662.32, 566,708.02 and 229,376.82

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Solution

The fourth proportional to 410,662.32, 566,708.02 and 229,376.82 is: 316,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,662.32 : 566,708.02 = 229,376.82 : x
  2. Step 2: Convert to fraction form
    410,662.32/566,708.02 = 229,376.82/x
  3. Step 3: Cross multiply
    410,662.32x = 566,708.02 × 229,376.82
  4. Step 4: Simplify right side
    410,662.32x = 129,989,683,496.10
  5. Step 5: Solve for x
    x = 129,989,683,496.10/410,662.32
  6. Step 6: Final answer
    x = 316,536.67

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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.