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Finding the Fourth Proportional to 175,641.40, 263,462.10 and 44,313.40

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Solution

The fourth proportional to 175,641.40, 263,462.10 and 44,313.40 is: 66,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,641.40 : 263,462.10 = 44,313.40 : x
  2. Step 2: Convert to fraction form
    175,641.40/263,462.10 = 44,313.40/x
  3. Step 3: Cross multiply
    175,641.40x = 263,462.10 × 44,313.40
  4. Step 4: Simplify right side
    175,641.40x = 11,674,901,422.14
  5. Step 5: Solve for x
    x = 11,674,901,422.14/175,641.40
  6. Step 6: Final answer
    x = 66,470.10

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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.