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Finding the Fourth Proportional to 493,265.80, 739,898.70 and 465,709.60

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Solution

The fourth proportional to 493,265.80, 739,898.70 and 465,709.60 is: 698,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,265.80 : 739,898.70 = 465,709.60 : x
  2. Step 2: Convert to fraction form
    493,265.80/739,898.70 = 465,709.60/x
  3. Step 3: Cross multiply
    493,265.80x = 739,898.70 × 465,709.60
  4. Step 4: Simplify right side
    493,265.80x = 344,577,927,617.52
  5. Step 5: Solve for x
    x = 344,577,927,617.52/493,265.80
  6. Step 6: Final answer
    x = 698,564.40

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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.