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Finding the Fourth Proportional to 309,237.38, 463,911.44 and 159,437.46

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Solution

The fourth proportional to 309,237.38, 463,911.44 and 159,437.46 is: 239,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,237.38 : 463,911.44 = 159,437.46 : x
  2. Step 2: Convert to fraction form
    309,237.38/463,911.44 = 159,437.46/x
  3. Step 3: Cross multiply
    309,237.38x = 463,911.44 × 159,437.46
  4. Step 4: Simplify right side
    309,237.38x = 73,964,860,861.36
  5. Step 5: Solve for x
    x = 73,964,860,861.36/309,237.38
  6. Step 6: Final answer
    x = 239,184.74

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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.