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Finding the Fourth Proportional to 412,175.34, 617,349.60 and 316,702.80

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Solution

The fourth proportional to 412,175.34, 617,349.60 and 316,702.80 is: 474,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,175.34 : 617,349.60 = 316,702.80 : x
  2. Step 2: Convert to fraction form
    412,175.34/617,349.60 = 316,702.80/x
  3. Step 3: Cross multiply
    412,175.34x = 617,349.60 × 316,702.80
  4. Step 4: Simplify right side
    412,175.34x = 195,516,346,898.88
  5. Step 5: Solve for x
    x = 195,516,346,898.88/412,175.34
  6. Step 6: Final answer
    x = 474,352.36

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