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Finding the Fourth Proportional to 431,820.95, 595,886.03 and 238,231.16

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Solution

The fourth proportional to 431,820.95, 595,886.03 and 238,231.16 is: 328,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,820.95 : 595,886.03 = 238,231.16 : x
  2. Step 2: Convert to fraction form
    431,820.95/595,886.03 = 238,231.16/x
  3. Step 3: Cross multiply
    431,820.95x = 595,886.03 × 238,231.16
  4. Step 4: Simplify right side
    431,820.95x = 141,958,617,175.27
  5. Step 5: Solve for x
    x = 141,958,617,175.27/431,820.95
  6. Step 6: Final answer
    x = 328,744.16

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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.