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Finding the Fourth Proportional to 519,586.40, 779,233.80 and 164,709.20

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Solution

The fourth proportional to 519,586.40, 779,233.80 and 164,709.20 is: 247,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,586.40 : 779,233.80 = 164,709.20 : x
  2. Step 2: Convert to fraction form
    519,586.40/779,233.80 = 164,709.20/x
  3. Step 3: Cross multiply
    519,586.40x = 779,233.80 × 164,709.20
  4. Step 4: Simplify right side
    519,586.40x = 128,346,975,810.96
  5. Step 5: Solve for x
    x = 128,346,975,810.96/519,586.40
  6. Step 6: Final answer
    x = 247,017.58

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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.