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Finding the Fourth Proportional to 504,966.80, 756,413.40 and 411,654.80

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Solution

The fourth proportional to 504,966.80, 756,413.40 and 411,654.80 is: 616,636.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,966.80 : 756,413.40 = 411,654.80 : x
  2. Step 2: Convert to fraction form
    504,966.80/756,413.40 = 411,654.80/x
  3. Step 3: Cross multiply
    504,966.80x = 756,413.40 × 411,654.80
  4. Step 4: Simplify right side
    504,966.80x = 311,381,206,894.32
  5. Step 5: Solve for x
    x = 311,381,206,894.32/504,966.80
  6. Step 6: Final answer
    x = 616,636.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.