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Finding the Fourth Proportional to 431,168.25, 590,703.19 and 415,006.93

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Solution

The fourth proportional to 431,168.25, 590,703.19 and 415,006.93 is: 568,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,168.25 : 590,703.19 = 415,006.93 : x
  2. Step 2: Convert to fraction form
    431,168.25/590,703.19 = 415,006.93/x
  3. Step 3: Cross multiply
    431,168.25x = 590,703.19 × 415,006.93
  4. Step 4: Simplify right side
    431,168.25x = 245,145,917,423.11
  5. Step 5: Solve for x
    x = 245,145,917,423.11/431,168.25
  6. Step 6: Final answer
    x = 568,562.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.