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Finding the Fourth Proportional to 524,154.16, 723,282.77 and 306,413.74

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Solution

The fourth proportional to 524,154.16, 723,282.77 and 306,413.74 is: 422,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,154.16 : 723,282.77 = 306,413.74 : x
  2. Step 2: Convert to fraction form
    524,154.16/723,282.77 = 306,413.74/x
  3. Step 3: Cross multiply
    524,154.16x = 723,282.77 × 306,413.74
  4. Step 4: Simplify right side
    524,154.16x = 221,623,777,101.19
  5. Step 5: Solve for x
    x = 221,623,777,101.19/524,154.16
  6. Step 6: Final answer
    x = 422,821.75

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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.