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Finding the Fourth Proportional to 411,805.60, 617,708.40 and 175,088.80

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Solution

The fourth proportional to 411,805.60, 617,708.40 and 175,088.80 is: 262,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,805.60 : 617,708.40 = 175,088.80 : x
  2. Step 2: Convert to fraction form
    411,805.60/617,708.40 = 175,088.80/x
  3. Step 3: Cross multiply
    411,805.60x = 617,708.40 × 175,088.80
  4. Step 4: Simplify right side
    411,805.60x = 108,153,822,505.92
  5. Step 5: Solve for x
    x = 108,153,822,505.92/411,805.60
  6. Step 6: Final answer
    x = 262,633.20

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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.