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Finding the Fourth Proportional to 277,413.42, 382,830.39 and 156,580.05

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Solution

The fourth proportional to 277,413.42, 382,830.39 and 156,580.05 is: 216,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,413.42 : 382,830.39 = 156,580.05 : x
  2. Step 2: Convert to fraction form
    277,413.42/382,830.39 = 156,580.05/x
  3. Step 3: Cross multiply
    277,413.42x = 382,830.39 × 156,580.05
  4. Step 4: Simplify right side
    277,413.42x = 59,943,601,607.72
  5. Step 5: Solve for x
    x = 59,943,601,607.72/277,413.42
  6. Step 6: Final answer
    x = 216,080.40

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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.