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Finding the Fourth Proportional to 832,197.15, 1,148,413.14 and 469,611.72

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Solution

The fourth proportional to 832,197.15, 1,148,413.14 and 469,611.72 is: 648,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,197.15 : 1,148,413.14 = 469,611.72 : x
  2. Step 2: Convert to fraction form
    832,197.15/1,148,413.14 = 469,611.72/x
  3. Step 3: Cross multiply
    832,197.15x = 1,148,413.14 × 469,611.72
  4. Step 4: Simplify right side
    832,197.15x = 539,308,269,946.00
  5. Step 5: Solve for x
    x = 539,308,269,946.00/832,197.15
  6. Step 6: Final answer
    x = 648,053.49

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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.