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Finding the Fourth Proportional to 431,102.19, 594,921.20 and 249,919.16

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Solution

The fourth proportional to 431,102.19, 594,921.20 and 249,919.16 is: 344,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,102.19 : 594,921.20 = 249,919.16 : x
  2. Step 2: Convert to fraction form
    431,102.19/594,921.20 = 249,919.16/x
  3. Step 3: Cross multiply
    431,102.19x = 594,921.20 × 249,919.16
  4. Step 4: Simplify right side
    431,102.19x = 148,682,202,345.99
  5. Step 5: Solve for x
    x = 148,682,202,345.99/431,102.19
  6. Step 6: Final answer
    x = 344,888.53

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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.