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Finding the Fourth Proportional to 419,202, 578,542.50 and 237,962.88

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Solution

The fourth proportional to 419,202, 578,542.50 and 237,962.88 is: 328,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,202 : 578,542.50 = 237,962.88 : x
  2. Step 2: Convert to fraction form
    419,202/578,542.50 = 237,962.88/x
  3. Step 3: Cross multiply
    419,202x = 578,542.50 × 237,962.88
  4. Step 4: Simplify right side
    419,202x = 137,671,639,502.40
  5. Step 5: Solve for x
    x = 137,671,639,502.40/419,202
  6. Step 6: Final answer
    x = 328,413.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.