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Finding the Fourth Proportional to 297,578.80, 410,730.16 and 170,328.16

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Solution

The fourth proportional to 297,578.80, 410,730.16 and 170,328.16 is: 235,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,578.80 : 410,730.16 = 170,328.16 : x
  2. Step 2: Convert to fraction form
    297,578.80/410,730.16 = 170,328.16/x
  3. Step 3: Cross multiply
    297,578.80x = 410,730.16 × 170,328.16
  4. Step 4: Simplify right side
    297,578.80x = 69,958,912,409.31
  5. Step 5: Solve for x
    x = 69,958,912,409.31/297,578.80
  6. Step 6: Final answer
    x = 235,093.74

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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.