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Finding the Fourth Proportional to 230,458.20, 344,996.10 and 202,810.20

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Solution

The fourth proportional to 230,458.20, 344,996.10 and 202,810.20 is: 303,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,458.20 : 344,996.10 = 202,810.20 : x
  2. Step 2: Convert to fraction form
    230,458.20/344,996.10 = 202,810.20/x
  3. Step 3: Cross multiply
    230,458.20x = 344,996.10 × 202,810.20
  4. Step 4: Simplify right side
    230,458.20x = 69,968,728,040.22
  5. Step 5: Solve for x
    x = 69,968,728,040.22/230,458.20
  6. Step 6: Final answer
    x = 303,607.02

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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.