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Finding the Fourth Proportional to 370,042.96, 510,659.26 and 200,277.08

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Solution

The fourth proportional to 370,042.96, 510,659.26 and 200,277.08 is: 276,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,042.96 : 510,659.26 = 200,277.08 : x
  2. Step 2: Convert to fraction form
    370,042.96/510,659.26 = 200,277.08/x
  3. Step 3: Cross multiply
    370,042.96x = 510,659.26 × 200,277.08
  4. Step 4: Simplify right side
    370,042.96x = 102,273,345,467.76
  5. Step 5: Solve for x
    x = 102,273,345,467.76/370,042.96
  6. Step 6: Final answer
    x = 276,382.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.