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Finding the Fourth Proportional to 230,817.60, 346,226.40 and 193,492.80

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Solution

The fourth proportional to 230,817.60, 346,226.40 and 193,492.80 is: 290,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,817.60 : 346,226.40 = 193,492.80 : x
  2. Step 2: Convert to fraction form
    230,817.60/346,226.40 = 193,492.80/x
  3. Step 3: Cross multiply
    230,817.60x = 346,226.40 × 193,492.80
  4. Step 4: Simplify right side
    230,817.60x = 66,992,315,569.92
  5. Step 5: Solve for x
    x = 66,992,315,569.92/230,817.60
  6. Step 6: Final answer
    x = 290,239.20

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1.5x scale

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.