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Finding the Fourth Proportional to 310,263.90, 464,958.45 and 191,582.70

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Solution

The fourth proportional to 310,263.90, 464,958.45 and 191,582.70 is: 287,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,263.90 : 464,958.45 = 191,582.70 : x
  2. Step 2: Convert to fraction form
    310,263.90/464,958.45 = 191,582.70/x
  3. Step 3: Cross multiply
    310,263.90x = 464,958.45 × 191,582.70
  4. Step 4: Simplify right side
    310,263.90x = 89,077,995,238.82
  5. Step 5: Solve for x
    x = 89,077,995,238.82/310,263.90
  6. Step 6: Final answer
    x = 287,103.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.