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Finding the Fourth Proportional to 295,714.20, 442,915.20 and 243,226.20

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Solution

The fourth proportional to 295,714.20, 442,915.20 and 243,226.20 is: 364,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,714.20 : 442,915.20 = 243,226.20 : x
  2. Step 2: Convert to fraction form
    295,714.20/442,915.20 = 243,226.20/x
  3. Step 3: Cross multiply
    295,714.20x = 442,915.20 × 243,226.20
  4. Step 4: Simplify right side
    295,714.20x = 107,728,581,018.24
  5. Step 5: Solve for x
    x = 107,728,581,018.24/295,714.20
  6. Step 6: Final answer
    x = 364,299.65

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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.