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Finding the Fourth Proportional to 370,168.44, 510,842.92 and 209,047.72

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Solution

The fourth proportional to 370,168.44, 510,842.92 and 209,047.72 is: 288,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,168.44 : 510,842.92 = 209,047.72 : x
  2. Step 2: Convert to fraction form
    370,168.44/510,842.92 = 209,047.72/x
  3. Step 3: Cross multiply
    370,168.44x = 510,842.92 × 209,047.72
  4. Step 4: Simplify right side
    370,168.44x = 106,790,547,704.14
  5. Step 5: Solve for x
    x = 106,790,547,704.14/370,168.44
  6. Step 6: Final answer
    x = 288,491.77

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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.