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Finding the Fourth Proportional to 431,048.86, 594,847.22 and 249,865.79

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Solution

The fourth proportional to 431,048.86, 594,847.22 and 249,865.79 is: 344,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,048.86 : 594,847.22 = 249,865.79 : x
  2. Step 2: Convert to fraction form
    431,048.86/594,847.22 = 249,865.79/x
  3. Step 3: Cross multiply
    431,048.86x = 594,847.22 × 249,865.79
  4. Step 4: Simplify right side
    431,048.86x = 148,631,966,331.04
  5. Step 5: Solve for x
    x = 148,631,966,331.04/431,048.86
  6. Step 6: Final answer
    x = 344,814.66

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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.