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Finding the Fourth Proportional to 317,804, 476,706 and 118,174.64

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Solution

The fourth proportional to 317,804, 476,706 and 118,174.64 is: 177,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,804 : 476,706 = 118,174.64 : x
  2. Step 2: Convert to fraction form
    317,804/476,706 = 118,174.64/x
  3. Step 3: Cross multiply
    317,804x = 476,706 × 118,174.64
  4. Step 4: Simplify right side
    317,804x = 56,334,559,935.84
  5. Step 5: Solve for x
    x = 56,334,559,935.84/317,804
  6. Step 6: Final answer
    x = 177,261.96

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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.