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Finding the Fourth Proportional to 419,503.84, 578,895.38 and 238,192.02

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Solution

The fourth proportional to 419,503.84, 578,895.38 and 238,192.02 is: 328,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,503.84 : 578,895.38 = 238,192.02 : x
  2. Step 2: Convert to fraction form
    419,503.84/578,895.38 = 238,192.02/x
  3. Step 3: Cross multiply
    419,503.84x = 578,895.38 × 238,192.02
  4. Step 4: Simplify right side
    419,503.84x = 137,888,259,930.87
  5. Step 5: Solve for x
    x = 137,888,259,930.87/419,503.84
  6. Step 6: Final answer
    x = 328,693.68

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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.