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Finding the Fourth Proportional to 297,541, 410,606.58 and 163,413.64

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Solution

The fourth proportional to 297,541, 410,606.58 and 163,413.64 is: 225,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,541 : 410,606.58 = 163,413.64 : x
  2. Step 2: Convert to fraction form
    297,541/410,606.58 = 163,413.64/x
  3. Step 3: Cross multiply
    297,541x = 410,606.58 × 163,413.64
  4. Step 4: Simplify right side
    297,541x = 67,098,715,845.75
  5. Step 5: Solve for x
    x = 67,098,715,845.75/297,541
  6. Step 6: Final answer
    x = 225,510.82

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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.