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Finding the Fourth Proportional to 477,784.77, 659,308.98 and 284,181.81

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Solution

The fourth proportional to 477,784.77, 659,308.98 and 284,181.81 is: 392,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,784.77 : 659,308.98 = 284,181.81 : x
  2. Step 2: Convert to fraction form
    477,784.77/659,308.98 = 284,181.81/x
  3. Step 3: Cross multiply
    477,784.77x = 659,308.98 × 284,181.81
  4. Step 4: Simplify right side
    477,784.77x = 187,363,619,285.65
  5. Step 5: Solve for x
    x = 187,363,619,285.65/477,784.77
  6. Step 6: Final answer
    x = 392,150.67

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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.