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Finding the Fourth Proportional to 410,813.96, 566,866.91 and 229,503.36

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Solution

The fourth proportional to 410,813.96, 566,866.91 and 229,503.36 is: 316,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,813.96 : 566,866.91 = 229,503.36 : x
  2. Step 2: Convert to fraction form
    410,813.96/566,866.91 = 229,503.36/x
  3. Step 3: Cross multiply
    410,813.96x = 566,866.91 × 229,503.36
  4. Step 4: Simplify right side
    410,813.96x = 130,097,861,091.58
  5. Step 5: Solve for x
    x = 130,097,861,091.58/410,813.96
  6. Step 6: Final answer
    x = 316,683.15

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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.