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Finding the Fourth Proportional to 273,574.20, 410,303.70 and 115,807.80

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Solution

The fourth proportional to 273,574.20, 410,303.70 and 115,807.80 is: 173,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,574.20 : 410,303.70 = 115,807.80 : x
  2. Step 2: Convert to fraction form
    273,574.20/410,303.70 = 115,807.80/x
  3. Step 3: Cross multiply
    273,574.20x = 410,303.70 × 115,807.80
  4. Step 4: Simplify right side
    273,574.20x = 47,516,368,828.86
  5. Step 5: Solve for x
    x = 47,516,368,828.86/273,574.20
  6. Step 6: Final answer
    x = 173,687.32

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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.