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Finding the Fourth Proportional to 309,065.60, 463,650.74 and 106,606.74

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Solution

The fourth proportional to 309,065.60, 463,650.74 and 106,606.74 is: 159,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,065.60 : 463,650.74 = 106,606.74 : x
  2. Step 2: Convert to fraction form
    309,065.60/463,650.74 = 106,606.74/x
  3. Step 3: Cross multiply
    309,065.60x = 463,650.74 × 106,606.74
  4. Step 4: Simplify right side
    309,065.60x = 49,428,293,889.99
  5. Step 5: Solve for x
    x = 49,428,293,889.99/309,065.60
  6. Step 6: Final answer
    x = 159,928.16

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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.