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Finding the Fourth Proportional to 230,854.60, 346,281.90 and 204,416.20

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Solution

The fourth proportional to 230,854.60, 346,281.90 and 204,416.20 is: 306,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,854.60 : 346,281.90 = 204,416.20 : x
  2. Step 2: Convert to fraction form
    230,854.60/346,281.90 = 204,416.20/x
  3. Step 3: Cross multiply
    230,854.60x = 346,281.90 × 204,416.20
  4. Step 4: Simplify right side
    230,854.60x = 70,785,630,126.78
  5. Step 5: Solve for x
    x = 70,785,630,126.78/230,854.60
  6. Step 6: Final answer
    x = 306,624.30

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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.