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Finding the Fourth Proportional to 471,623.96, 650,852.75 and 256,775.81

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Solution

The fourth proportional to 471,623.96, 650,852.75 and 256,775.81 is: 354,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,623.96 : 650,852.75 = 256,775.81 : x
  2. Step 2: Convert to fraction form
    471,623.96/650,852.75 = 256,775.81/x
  3. Step 3: Cross multiply
    471,623.96x = 650,852.75 × 256,775.81
  4. Step 4: Simplify right side
    471,623.96x = 167,123,237,533.84
  5. Step 5: Solve for x
    x = 167,123,237,533.84/471,623.96
  6. Step 6: Final answer
    x = 354,356.97

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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.