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Finding the Fourth Proportional to 295,302.30, 442,953.45 and 206,828.70

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Solution

The fourth proportional to 295,302.30, 442,953.45 and 206,828.70 is: 310,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,302.30 : 442,953.45 = 206,828.70 : x
  2. Step 2: Convert to fraction form
    295,302.30/442,953.45 = 206,828.70/x
  3. Step 3: Cross multiply
    295,302.30x = 442,953.45 × 206,828.70
  4. Step 4: Simplify right side
    295,302.30x = 91,615,486,224.02
  5. Step 5: Solve for x
    x = 91,615,486,224.02/295,302.30
  6. Step 6: Final answer
    x = 310,243.05

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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.