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Finding the Fourth Proportional to 290,113, 435,836.58 and 206,077.48

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Solution

The fourth proportional to 290,113, 435,836.58 and 206,077.48 is: 309,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,113 : 435,836.58 = 206,077.48 : x
  2. Step 2: Convert to fraction form
    290,113/435,836.58 = 206,077.48/x
  3. Step 3: Cross multiply
    290,113x = 435,836.58 × 206,077.48
  4. Step 4: Simplify right side
    290,113x = 89,816,104,098.22
  5. Step 5: Solve for x
    x = 89,816,104,098.22/290,113
  6. Step 6: Final answer
    x = 309,590.07

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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.