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Finding the Fourth Proportional to 497,726.70, 746,686.05 and 213,413.10

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Solution

The fourth proportional to 497,726.70, 746,686.05 and 213,413.10 is: 320,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,726.70 : 746,686.05 = 213,413.10 : x
  2. Step 2: Convert to fraction form
    497,726.70/746,686.05 = 213,413.10/x
  3. Step 3: Cross multiply
    497,726.70x = 746,686.05 × 213,413.10
  4. Step 4: Simplify right side
    497,726.70x = 159,352,584,657.26
  5. Step 5: Solve for x
    x = 159,352,584,657.26/497,726.70
  6. Step 6: Final answer
    x = 320,160.81

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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.