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Finding the Fourth Proportional to 546,019.70, 753,972.45 and 342,413.06

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Solution

The fourth proportional to 546,019.70, 753,972.45 and 342,413.06 is: 472,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,019.70 : 753,972.45 = 342,413.06 : x
  2. Step 2: Convert to fraction form
    546,019.70/753,972.45 = 342,413.06/x
  3. Step 3: Cross multiply
    546,019.70x = 753,972.45 × 342,413.06
  4. Step 4: Simplify right side
    546,019.70x = 258,170,013,760.20
  5. Step 5: Solve for x
    x = 258,170,013,760.20/546,019.70
  6. Step 6: Final answer
    x = 472,821.79

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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.