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Finding the Fourth Proportional to 546,020.20, 753,973.14 and 342,413.56

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Solution

The fourth proportional to 546,020.20, 753,973.14 and 342,413.56 is: 472,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,020.20 : 753,973.14 = 342,413.56 : x
  2. Step 2: Convert to fraction form
    546,020.20/753,973.14 = 342,413.56/x
  3. Step 3: Cross multiply
    546,020.20x = 753,973.14 × 342,413.56
  4. Step 4: Simplify right side
    546,020.20x = 258,170,627,011.78
  5. Step 5: Solve for x
    x = 258,170,627,011.78/546,020.20
  6. Step 6: Final answer
    x = 472,822.48

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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.