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Finding the Fourth Proportional to 497,907.79, 746,862.15 and 213,413.73

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Solution

The fourth proportional to 497,907.79, 746,862.15 and 213,413.73 is: 320,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,907.79 : 746,862.15 = 213,413.73 : x
  2. Step 2: Convert to fraction form
    497,907.79/746,862.15 = 213,413.73/x
  3. Step 3: Cross multiply
    497,907.79x = 746,862.15 × 213,413.73
  4. Step 4: Simplify right side
    497,907.79x = 159,390,637,227.32
  5. Step 5: Solve for x
    x = 159,390,637,227.32/497,907.79
  6. Step 6: Final answer
    x = 320,120.79

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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.