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Finding the Fourth Proportional to 317,743.44, 476,683.74 and 107,376.72

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Solution

The fourth proportional to 317,743.44, 476,683.74 and 107,376.72 is: 161,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,743.44 : 476,683.74 = 107,376.72 : x
  2. Step 2: Convert to fraction form
    317,743.44/476,683.74 = 107,376.72/x
  3. Step 3: Cross multiply
    317,743.44x = 476,683.74 × 107,376.72
  4. Step 4: Simplify right side
    317,743.44x = 51,184,736,478.53
  5. Step 5: Solve for x
    x = 51,184,736,478.53/317,743.44
  6. Step 6: Final answer
    x = 161,088.26

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Why These Related Problems?

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