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Finding the Fourth Proportional to 431,677.51, 595,718.93 and 238,092.77

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Solution

The fourth proportional to 431,677.51, 595,718.93 and 238,092.77 is: 328,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,677.51 : 595,718.93 = 238,092.77 : x
  2. Step 2: Convert to fraction form
    431,677.51/595,718.93 = 238,092.77/x
  3. Step 3: Cross multiply
    431,677.51x = 595,718.93 × 238,092.77
  4. Step 4: Simplify right side
    431,677.51x = 141,836,372,269.67
  5. Step 5: Solve for x
    x = 141,836,372,269.67/431,677.51
  6. Step 6: Final answer
    x = 328,570.22

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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.