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Finding the Fourth Proportional to 543,894.80, 815,842.20 and 463,413.20

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Solution

The fourth proportional to 543,894.80, 815,842.20 and 463,413.20 is: 695,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,894.80 : 815,842.20 = 463,413.20 : x
  2. Step 2: Convert to fraction form
    543,894.80/815,842.20 = 463,413.20/x
  3. Step 3: Cross multiply
    543,894.80x = 815,842.20 × 463,413.20
  4. Step 4: Simplify right side
    543,894.80x = 378,072,044,597.04
  5. Step 5: Solve for x
    x = 378,072,044,597.04/543,894.80
  6. Step 6: Final answer
    x = 695,119.80

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Why These Related Problems?

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