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Finding the Fourth Proportional to 410,747.72, 566,463.44 and 342,064.58

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Solution

The fourth proportional to 410,747.72, 566,463.44 and 342,064.58 is: 471,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,747.72 : 566,463.44 = 342,064.58 : x
  2. Step 2: Convert to fraction form
    410,747.72/566,463.44 = 342,064.58/x
  3. Step 3: Cross multiply
    410,747.72x = 566,463.44 × 342,064.58
  4. Step 4: Simplify right side
    410,747.72x = 193,767,078,688.96
  5. Step 5: Solve for x
    x = 193,767,078,688.96/410,747.72
  6. Step 6: Final answer
    x = 471,742.31

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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.