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Finding the Fourth Proportional to 429,805.30, 593,134.16 and 268,754.62

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Solution

The fourth proportional to 429,805.30, 593,134.16 and 268,754.62 is: 370,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,805.30 : 593,134.16 = 268,754.62 : x
  2. Step 2: Convert to fraction form
    429,805.30/593,134.16 = 268,754.62/x
  3. Step 3: Cross multiply
    429,805.30x = 593,134.16 × 268,754.62
  4. Step 4: Simplify right side
    429,805.30x = 159,407,547,262.66
  5. Step 5: Solve for x
    x = 159,407,547,262.66/429,805.30
  6. Step 6: Final answer
    x = 370,883.16

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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.