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Finding the Fourth Proportional to 346,176.96, 477,725.76 and 202,939.20

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Solution

The fourth proportional to 346,176.96, 477,725.76 and 202,939.20 is: 280,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,176.96 : 477,725.76 = 202,939.20 : x
  2. Step 2: Convert to fraction form
    346,176.96/477,725.76 = 202,939.20/x
  3. Step 3: Cross multiply
    346,176.96x = 477,725.76 × 202,939.20
  4. Step 4: Simplify right side
    346,176.96x = 96,949,283,553.79
  5. Step 5: Solve for x
    x = 96,949,283,553.79/346,176.96
  6. Step 6: Final answer
    x = 280,057.01

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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.