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Finding the Fourth Proportional to 709,662.06, 1,064,508.06 and 254,282.94

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Solution

The fourth proportional to 709,662.06, 1,064,508.06 and 254,282.94 is: 381,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,662.06 : 1,064,508.06 = 254,282.94 : x
  2. Step 2: Convert to fraction form
    709,662.06/1,064,508.06 = 254,282.94/x
  3. Step 3: Cross multiply
    709,662.06x = 1,064,508.06 × 254,282.94
  4. Step 4: Simplify right side
    709,662.06x = 270,686,239,150.50
  5. Step 5: Solve for x
    x = 270,686,239,150.50/709,662.06
  6. Step 6: Final answer
    x = 381,429.77

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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.