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Finding the Fourth Proportional to 290,836.16, 436,455.12 and 191,044.16

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Solution

The fourth proportional to 290,836.16, 436,455.12 and 191,044.16 is: 286,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,836.16 : 436,455.12 = 191,044.16 : x
  2. Step 2: Convert to fraction form
    290,836.16/436,455.12 = 191,044.16/x
  3. Step 3: Cross multiply
    290,836.16x = 436,455.12 × 191,044.16
  4. Step 4: Simplify right side
    290,836.16x = 83,382,201,778.10
  5. Step 5: Solve for x
    x = 83,382,201,778.10/290,836.16
  6. Step 6: Final answer
    x = 286,698.19

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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.