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Finding the Fourth Proportional to 295,302.20, 442,297.20 and 242,814.20

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Solution

The fourth proportional to 295,302.20, 442,297.20 and 242,814.20 is: 363,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,302.20 : 442,297.20 = 242,814.20 : x
  2. Step 2: Convert to fraction form
    295,302.20/442,297.20 = 242,814.20/x
  3. Step 3: Cross multiply
    295,302.20x = 442,297.20 × 242,814.20
  4. Step 4: Simplify right side
    295,302.20x = 107,396,040,780.24
  5. Step 5: Solve for x
    x = 107,396,040,780.24/295,302.20
  6. Step 6: Final answer
    x = 363,681.82

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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.