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Finding the Fourth Proportional to 343,524.38, 474,068.32 and 257,330.66

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Solution

The fourth proportional to 343,524.38, 474,068.32 and 257,330.66 is: 355,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,524.38 : 474,068.32 = 257,330.66 : x
  2. Step 2: Convert to fraction form
    343,524.38/474,068.32 = 257,330.66/x
  3. Step 3: Cross multiply
    343,524.38x = 474,068.32 × 257,330.66
  4. Step 4: Simplify right side
    343,524.38x = 121,992,313,670.69
  5. Step 5: Solve for x
    x = 121,992,313,670.69/343,524.38
  6. Step 6: Final answer
    x = 355,119.81

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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.