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Finding the Fourth Proportional to 317,428.56, 476,090.88 and 117,702

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Solution

The fourth proportional to 317,428.56, 476,090.88 and 117,702 is: 176,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,428.56 : 476,090.88 = 117,702 : x
  2. Step 2: Convert to fraction form
    317,428.56/476,090.88 = 117,702/x
  3. Step 3: Cross multiply
    317,428.56x = 476,090.88 × 117,702
  4. Step 4: Simplify right side
    317,428.56x = 56,036,848,757.76
  5. Step 5: Solve for x
    x = 56,036,848,757.76/317,428.56
  6. Step 6: Final answer
    x = 176,533.73

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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.