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Finding the Fourth Proportional to 489,454.80, 734,182.20 and 157,064.40

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Solution

The fourth proportional to 489,454.80, 734,182.20 and 157,064.40 is: 235,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,454.80 : 734,182.20 = 157,064.40 : x
  2. Step 2: Convert to fraction form
    489,454.80/734,182.20 = 157,064.40/x
  3. Step 3: Cross multiply
    489,454.80x = 734,182.20 × 157,064.40
  4. Step 4: Simplify right side
    489,454.80x = 115,313,886,733.68
  5. Step 5: Solve for x
    x = 115,313,886,733.68/489,454.80
  6. Step 6: Final answer
    x = 235,596.60

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Why These Related Problems?

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