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Finding the Fourth Proportional to 243,034.30, 364,114.05 and 208,042.30

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Solution

The fourth proportional to 243,034.30, 364,114.05 and 208,042.30 is: 311,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,034.30 : 364,114.05 = 208,042.30 : x
  2. Step 2: Convert to fraction form
    243,034.30/364,114.05 = 208,042.30/x
  3. Step 3: Cross multiply
    243,034.30x = 364,114.05 × 208,042.30
  4. Step 4: Simplify right side
    243,034.30x = 75,751,124,424.32
  5. Step 5: Solve for x
    x = 75,751,124,424.32/243,034.30
  6. Step 6: Final answer
    x = 311,689.03

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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.