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Finding the Fourth Proportional to 475,884.45, 712,424.21 and 416,835.45

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Solution

The fourth proportional to 475,884.45, 712,424.21 and 416,835.45 is: 624,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,884.45 : 712,424.21 = 416,835.45 : x
  2. Step 2: Convert to fraction form
    475,884.45/712,424.21 = 416,835.45/x
  3. Step 3: Cross multiply
    475,884.45x = 712,424.21 × 416,835.45
  4. Step 4: Simplify right side
    475,884.45x = 296,963,664,082.07
  5. Step 5: Solve for x
    x = 296,963,664,082.07/475,884.45
  6. Step 6: Final answer
    x = 624,024.73

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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.