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Finding the Fourth Proportional to 471,551.93, 650,741.74 and 256,693.61

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Solution

The fourth proportional to 471,551.93, 650,741.74 and 256,693.61 is: 354,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,551.93 : 650,741.74 = 256,693.61 : x
  2. Step 2: Convert to fraction form
    471,551.93/650,741.74 = 256,693.61/x
  3. Step 3: Cross multiply
    471,551.93x = 650,741.74 × 256,693.61
  4. Step 4: Simplify right side
    471,551.93x = 167,041,243,164.57
  5. Step 5: Solve for x
    x = 167,041,243,164.57/471,551.93
  6. Step 6: Final answer
    x = 354,237.22

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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.