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Finding the Fourth Proportional to 431,647.42, 595,651.50 and 238,088.80

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Solution

The fourth proportional to 431,647.42, 595,651.50 and 238,088.80 is: 328,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,647.42 : 595,651.50 = 238,088.80 : x
  2. Step 2: Convert to fraction form
    431,647.42/595,651.50 = 238,088.80/x
  3. Step 3: Cross multiply
    431,647.42x = 595,651.50 × 238,088.80
  4. Step 4: Simplify right side
    431,647.42x = 141,817,950,853.20
  5. Step 5: Solve for x
    x = 141,817,950,853.20/431,647.42
  6. Step 6: Final answer
    x = 328,550.44

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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.