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Finding the Fourth Proportional to 309,099.60, 463,649.40 and 239,029.20

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Solution

The fourth proportional to 309,099.60, 463,649.40 and 239,029.20 is: 358,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,099.60 : 463,649.40 = 239,029.20 : x
  2. Step 2: Convert to fraction form
    309,099.60/463,649.40 = 239,029.20/x
  3. Step 3: Cross multiply
    309,099.60x = 463,649.40 × 239,029.20
  4. Step 4: Simplify right side
    309,099.60x = 110,825,745,162.48
  5. Step 5: Solve for x
    x = 110,825,745,162.48/309,099.60
  6. Step 6: Final answer
    x = 358,543.80

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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.