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Finding the Fourth Proportional to 412,762.83, 569,371.03 and 259,558.62

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Solution

The fourth proportional to 412,762.83, 569,371.03 and 259,558.62 is: 358,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,762.83 : 569,371.03 = 259,558.62 : x
  2. Step 2: Convert to fraction form
    412,762.83/569,371.03 = 259,558.62/x
  3. Step 3: Cross multiply
    412,762.83x = 569,371.03 × 259,558.62
  4. Step 4: Simplify right side
    412,762.83x = 147,785,158,814.78
  5. Step 5: Solve for x
    x = 147,785,158,814.78/412,762.83
  6. Step 6: Final answer
    x = 358,038.92

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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.