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Finding the Fourth Proportional to 297,204.10, 410,300.76 and 229,071.76

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Solution

The fourth proportional to 297,204.10, 410,300.76 and 229,071.76 is: 316,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,204.10 : 410,300.76 = 229,071.76 : x
  2. Step 2: Convert to fraction form
    297,204.10/410,300.76 = 229,071.76/x
  3. Step 3: Cross multiply
    297,204.10x = 410,300.76 × 229,071.76
  4. Step 4: Simplify right side
    297,204.10x = 93,988,317,222.54
  5. Step 5: Solve for x
    x = 93,988,317,222.54/297,204.10
  6. Step 6: Final answer
    x = 316,241.66

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1.5x scale

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.