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Finding the Fourth Proportional to 709,083, 1,063,027.90 and 329,811

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Solution

The fourth proportional to 709,083, 1,063,027.90 and 329,811 is: 494,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,083 : 1,063,027.90 = 329,811 : x
  2. Step 2: Convert to fraction form
    709,083/1,063,027.90 = 329,811/x
  3. Step 3: Cross multiply
    709,083x = 1,063,027.90 × 329,811
  4. Step 4: Simplify right side
    709,083x = 350,598,294,726.90
  5. Step 5: Solve for x
    x = 350,598,294,726.90/709,083
  6. Step 6: Final answer
    x = 494,439.01

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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.