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Finding the Fourth Proportional to 411,816.60, 617,724.90 and 175,099.80

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Solution

The fourth proportional to 411,816.60, 617,724.90 and 175,099.80 is: 262,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,816.60 : 617,724.90 = 175,099.80 : x
  2. Step 2: Convert to fraction form
    411,816.60/617,724.90 = 175,099.80/x
  3. Step 3: Cross multiply
    411,816.60x = 617,724.90 × 175,099.80
  4. Step 4: Simplify right side
    411,816.60x = 108,163,506,445.02
  5. Step 5: Solve for x
    x = 108,163,506,445.02/411,816.60
  6. Step 6: Final answer
    x = 262,649.70

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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.