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Finding the Fourth Proportional to 317,878.72, 476,744.16 and 118,293.10

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Solution

The fourth proportional to 317,878.72, 476,744.16 and 118,293.10 is: 177,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,878.72 : 476,744.16 = 118,293.10 : x
  2. Step 2: Convert to fraction form
    317,878.72/476,744.16 = 118,293.10/x
  3. Step 3: Cross multiply
    317,878.72x = 476,744.16 × 118,293.10
  4. Step 4: Simplify right side
    317,878.72x = 56,395,543,845.03
  5. Step 5: Solve for x
    x = 56,395,543,845.03/317,878.72
  6. Step 6: Final answer
    x = 177,412.14

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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.