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Finding the Fourth Proportional to 416,423.32, 624,372.54 and 353,265.60

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Solution

The fourth proportional to 416,423.32, 624,372.54 and 353,265.60 is: 529,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,423.32 : 624,372.54 = 353,265.60 : x
  2. Step 2: Convert to fraction form
    416,423.32/624,372.54 = 353,265.60/x
  3. Step 3: Cross multiply
    416,423.32x = 624,372.54 × 353,265.60
  4. Step 4: Simplify right side
    416,423.32x = 220,569,339,966.62
  5. Step 5: Solve for x
    x = 220,569,339,966.62/416,423.32
  6. Step 6: Final answer
    x = 529,675.76

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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.