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Finding the Fourth Proportional to 297,041.84, 409,939.42 and 169,714.70

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Solution

The fourth proportional to 297,041.84, 409,939.42 and 169,714.70 is: 234,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,041.84 : 409,939.42 = 169,714.70 : x
  2. Step 2: Convert to fraction form
    297,041.84/409,939.42 = 169,714.70/x
  3. Step 3: Cross multiply
    297,041.84x = 409,939.42 × 169,714.70
  4. Step 4: Simplify right side
    297,041.84x = 69,572,745,683.47
  5. Step 5: Solve for x
    x = 69,572,745,683.47/297,041.84
  6. Step 6: Final answer
    x = 234,218.67

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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.