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Finding the Fourth Proportional to 230,415.20, 345,622.80 and 177,927.20

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Solution

The fourth proportional to 230,415.20, 345,622.80 and 177,927.20 is: 266,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,415.20 : 345,622.80 = 177,927.20 : x
  2. Step 2: Convert to fraction form
    230,415.20/345,622.80 = 177,927.20/x
  3. Step 3: Cross multiply
    230,415.20x = 345,622.80 × 177,927.20
  4. Step 4: Simplify right side
    230,415.20x = 61,495,697,060.16
  5. Step 5: Solve for x
    x = 61,495,697,060.16/230,415.20
  6. Step 6: Final answer
    x = 266,890.80

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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.