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Finding the Fourth Proportional to 242,415.80, 363,623.70 and 179,430.20

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Solution

The fourth proportional to 242,415.80, 363,623.70 and 179,430.20 is: 269,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,415.80 : 363,623.70 = 179,430.20 : x
  2. Step 2: Convert to fraction form
    242,415.80/363,623.70 = 179,430.20/x
  3. Step 3: Cross multiply
    242,415.80x = 363,623.70 × 179,430.20
  4. Step 4: Simplify right side
    242,415.80x = 65,245,073,215.74
  5. Step 5: Solve for x
    x = 65,245,073,215.74/242,415.80
  6. Step 6: Final answer
    x = 269,145.30

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1.5x scale

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.