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Finding the Fourth Proportional to 407,007, 561,669.66 and 225,746.70

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Solution

The fourth proportional to 407,007, 561,669.66 and 225,746.70 is: 311,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,007 : 561,669.66 = 225,746.70 : x
  2. Step 2: Convert to fraction form
    407,007/561,669.66 = 225,746.70/x
  3. Step 3: Cross multiply
    407,007x = 561,669.66 × 225,746.70
  4. Step 4: Simplify right side
    407,007x = 126,795,072,235.12
  5. Step 5: Solve for x
    x = 126,795,072,235.12/407,007
  6. Step 6: Final answer
    x = 311,530.45

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