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Finding the Fourth Proportional to 315,413.32, 473,097.02 and 123,251.76

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Solution

The fourth proportional to 315,413.32, 473,097.02 and 123,251.76 is: 184,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,413.32 : 473,097.02 = 123,251.76 : x
  2. Step 2: Convert to fraction form
    315,413.32/473,097.02 = 123,251.76/x
  3. Step 3: Cross multiply
    315,413.32x = 473,097.02 × 123,251.76
  4. Step 4: Simplify right side
    315,413.32x = 58,310,038,308.40
  5. Step 5: Solve for x
    x = 58,310,038,308.40/315,413.32
  6. Step 6: Final answer
    x = 184,868.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.