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Finding the Fourth Proportional to 469,252.29, 647,224.20 and 308,048.52

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Solution

The fourth proportional to 469,252.29, 647,224.20 and 308,048.52 is: 424,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,252.29 : 647,224.20 = 308,048.52 : x
  2. Step 2: Convert to fraction form
    469,252.29/647,224.20 = 308,048.52/x
  3. Step 3: Cross multiply
    469,252.29x = 647,224.20 × 308,048.52
  4. Step 4: Simplify right side
    469,252.29x = 199,376,454,838.25
  5. Step 5: Solve for x
    x = 199,376,454,838.25/469,252.29
  6. Step 6: Final answer
    x = 424,881.16

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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.