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Finding the Fourth Proportional to 513,413.84, 708,536.03 and 283,970.19

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Solution

The fourth proportional to 513,413.84, 708,536.03 and 283,970.19 is: 391,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,413.84 : 708,536.03 = 283,970.19 : x
  2. Step 2: Convert to fraction form
    513,413.84/708,536.03 = 283,970.19/x
  3. Step 3: Cross multiply
    513,413.84x = 708,536.03 × 283,970.19
  4. Step 4: Simplify right side
    513,413.84x = 201,203,109,641.10
  5. Step 5: Solve for x
    x = 201,203,109,641.10/513,413.84
  6. Step 6: Final answer
    x = 391,892.65

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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.