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Finding the Fourth Proportional to 344,907.74, 475,981.76 and 191,956.24

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Solution

The fourth proportional to 344,907.74, 475,981.76 and 191,956.24 is: 264,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,907.74 : 475,981.76 = 191,956.24 : x
  2. Step 2: Convert to fraction form
    344,907.74/475,981.76 = 191,956.24/x
  3. Step 3: Cross multiply
    344,907.74x = 475,981.76 × 191,956.24
  4. Step 4: Simplify right side
    344,907.74x = 91,367,668,958.18
  5. Step 5: Solve for x
    x = 91,367,668,958.18/344,907.74
  6. Step 6: Final answer
    x = 264,904.66

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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.