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Finding the Fourth Proportional to 311,894.31, 430,413.63 and 175,927.83

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Solution

The fourth proportional to 311,894.31, 430,413.63 and 175,927.83 is: 242,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,894.31 : 430,413.63 = 175,927.83 : x
  2. Step 2: Convert to fraction form
    311,894.31/430,413.63 = 175,927.83/x
  3. Step 3: Cross multiply
    311,894.31x = 430,413.63 × 175,927.83
  4. Step 4: Simplify right side
    311,894.31x = 75,721,735,928.32
  5. Step 5: Solve for x
    x = 75,721,735,928.32/311,894.31
  6. Step 6: Final answer
    x = 242,780.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.