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Finding the Fourth Proportional to 290,714.20, 436,071.30 and 191,181.40

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Solution

The fourth proportional to 290,714.20, 436,071.30 and 191,181.40 is: 286,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,714.20 : 436,071.30 = 191,181.40 : x
  2. Step 2: Convert to fraction form
    290,714.20/436,071.30 = 191,181.40/x
  3. Step 3: Cross multiply
    290,714.20x = 436,071.30 × 191,181.40
  4. Step 4: Simplify right side
    290,714.20x = 83,368,721,633.82
  5. Step 5: Solve for x
    x = 83,368,721,633.82/290,714.20
  6. Step 6: Final answer
    x = 286,772.10

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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.