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Finding the Fourth Proportional to 297,698.50, 410,830.41 and 163,562.50

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Solution

The fourth proportional to 297,698.50, 410,830.41 and 163,562.50 is: 225,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,698.50 : 410,830.41 = 163,562.50 : x
  2. Step 2: Convert to fraction form
    297,698.50/410,830.41 = 163,562.50/x
  3. Step 3: Cross multiply
    297,698.50x = 410,830.41 × 163,562.50
  4. Step 4: Simplify right side
    297,698.50x = 67,196,448,935.63
  5. Step 5: Solve for x
    x = 67,196,448,935.63/297,698.50
  6. Step 6: Final answer
    x = 225,719.81

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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.