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Finding the Fourth Proportional to 483,794.60, 724,817.10 and 413,810.60

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Solution

The fourth proportional to 483,794.60, 724,817.10 and 413,810.60 is: 619,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,794.60 : 724,817.10 = 413,810.60 : x
  2. Step 2: Convert to fraction form
    483,794.60/724,817.10 = 413,810.60/x
  3. Step 3: Cross multiply
    483,794.60x = 724,817.10 × 413,810.60
  4. Step 4: Simplify right side
    483,794.60x = 299,936,999,041.26
  5. Step 5: Solve for x
    x = 299,936,999,041.26/483,794.60
  6. Step 6: Final answer
    x = 619,967.65

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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.