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Finding the Fourth Proportional to 317,802, 476,703 and 118,172.64

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Solution

The fourth proportional to 317,802, 476,703 and 118,172.64 is: 177,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,802 : 476,703 = 118,172.64 : x
  2. Step 2: Convert to fraction form
    317,802/476,703 = 118,172.64/x
  3. Step 3: Cross multiply
    317,802x = 476,703 × 118,172.64
  4. Step 4: Simplify right side
    317,802x = 56,333,252,005.92
  5. Step 5: Solve for x
    x = 56,333,252,005.92/317,802
  6. Step 6: Final answer
    x = 177,258.96

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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.