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Finding the Fourth Proportional to 431,707.04, 647,510.74 and 116,139.14

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Solution

The fourth proportional to 431,707.04, 647,510.74 and 116,139.14 is: 174,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,707.04 : 647,510.74 = 116,139.14 : x
  2. Step 2: Convert to fraction form
    431,707.04/647,510.74 = 116,139.14/x
  3. Step 3: Cross multiply
    431,707.04x = 647,510.74 × 116,139.14
  4. Step 4: Simplify right side
    431,707.04x = 75,201,340,484.36
  5. Step 5: Solve for x
    x = 75,201,340,484.36/431,707.04
  6. Step 6: Final answer
    x = 174,195.31

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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.