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Finding the Fourth Proportional to 482,783.60, 724,175.40 and 258,834.80

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Solution

The fourth proportional to 482,783.60, 724,175.40 and 258,834.80 is: 388,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,783.60 : 724,175.40 = 258,834.80 : x
  2. Step 2: Convert to fraction form
    482,783.60/724,175.40 = 258,834.80/x
  3. Step 3: Cross multiply
    482,783.60x = 724,175.40 × 258,834.80
  4. Step 4: Simplify right side
    482,783.60x = 187,441,794,823.92
  5. Step 5: Solve for x
    x = 187,441,794,823.92/482,783.60
  6. Step 6: Final answer
    x = 388,252.20

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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.