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Finding the Fourth Proportional to 465,312.38, 697,972.20 and 254,835.50

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Solution

The fourth proportional to 465,312.38, 697,972.20 and 254,835.50 is: 382,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,312.38 : 697,972.20 = 254,835.50 : x
  2. Step 2: Convert to fraction form
    465,312.38/697,972.20 = 254,835.50/x
  3. Step 3: Cross multiply
    465,312.38x = 697,972.20 × 254,835.50
  4. Step 4: Simplify right side
    465,312.38x = 177,868,094,573.10
  5. Step 5: Solve for x
    x = 177,868,094,573.10/465,312.38
  6. Step 6: Final answer
    x = 382,255.24

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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.