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Finding the Fourth Proportional to 307,234.71, 460,535.40 and 117,643.28

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Solution

The fourth proportional to 307,234.71, 460,535.40 and 117,643.28 is: 176,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,234.71 : 460,535.40 = 117,643.28 : x
  2. Step 2: Convert to fraction form
    307,234.71/460,535.40 = 117,643.28/x
  3. Step 3: Cross multiply
    307,234.71x = 460,535.40 × 117,643.28
  4. Step 4: Simplify right side
    307,234.71x = 54,178,892,709.44
  5. Step 5: Solve for x
    x = 54,178,892,709.44/307,234.71
  6. Step 6: Final answer
    x = 176,343.66

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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.