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Finding the Fourth Proportional to 407,053.74, 561,768.58 and 225,823.94

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Solution

The fourth proportional to 407,053.74, 561,768.58 and 225,823.94 is: 311,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,053.74 : 561,768.58 = 225,823.94 : x
  2. Step 2: Convert to fraction form
    407,053.74/561,768.58 = 225,823.94/x
  3. Step 3: Cross multiply
    407,053.74x = 561,768.58 × 225,823.94
  4. Step 4: Simplify right side
    407,053.74x = 126,860,794,103.81
  5. Step 5: Solve for x
    x = 126,860,794,103.81/407,053.74
  6. Step 6: Final answer
    x = 311,656.13

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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.