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Finding the Fourth Proportional to 556,906.64, 768,533.21 and 302,257.83

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Solution

The fourth proportional to 556,906.64, 768,533.21 and 302,257.83 is: 417,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,906.64 : 768,533.21 = 302,257.83 : x
  2. Step 2: Convert to fraction form
    556,906.64/768,533.21 = 302,257.83/x
  3. Step 3: Cross multiply
    556,906.64x = 768,533.21 × 302,257.83
  4. Step 4: Simplify right side
    556,906.64x = 232,295,180,218.91
  5. Step 5: Solve for x
    x = 232,295,180,218.91/556,906.64
  6. Step 6: Final answer
    x = 417,116.92

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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.