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Finding the Fourth Proportional to 299,624.81, 413,631.35 and 184,966.65

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Solution

The fourth proportional to 299,624.81, 413,631.35 and 184,966.65 is: 255,346.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,624.81 : 413,631.35 = 184,966.65 : x
  2. Step 2: Convert to fraction form
    299,624.81/413,631.35 = 184,966.65/x
  3. Step 3: Cross multiply
    299,624.81x = 413,631.35 × 184,966.65
  4. Step 4: Simplify right side
    299,624.81x = 76,508,004,219.64
  5. Step 5: Solve for x
    x = 76,508,004,219.64/299,624.81
  6. Step 6: Final answer
    x = 255,346.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.