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Finding the Fourth Proportional to 417,427.37, 626,090.03 and 177,637.86

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Solution

The fourth proportional to 417,427.37, 626,090.03 and 177,637.86 is: 266,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,427.37 : 626,090.03 = 177,637.86 : x
  2. Step 2: Convert to fraction form
    417,427.37/626,090.03 = 177,637.86/x
  3. Step 3: Cross multiply
    417,427.37x = 626,090.03 × 177,637.86
  4. Step 4: Simplify right side
    417,427.37x = 111,217,293,374.10
  5. Step 5: Solve for x
    x = 111,217,293,374.10/417,427.37
  6. Step 6: Final answer
    x = 266,435.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.