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Finding the Fourth Proportional to 297,200.35, 410,295.60 and 229,068.01

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Solution

The fourth proportional to 297,200.35, 410,295.60 and 229,068.01 is: 316,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,200.35 : 410,295.60 = 229,068.01 : x
  2. Step 2: Convert to fraction form
    297,200.35/410,295.60 = 229,068.01/x
  3. Step 3: Cross multiply
    297,200.35x = 410,295.60 × 229,068.01
  4. Step 4: Simplify right side
    297,200.35x = 93,985,593,406.94
  5. Step 5: Solve for x
    x = 93,985,593,406.94/297,200.35
  6. Step 6: Final answer
    x = 316,236.49

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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.