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Finding the Fourth Proportional to 380,044.36, 569,875.74 and 127,237.96

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Solution

The fourth proportional to 380,044.36, 569,875.74 and 127,237.96 is: 190,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,044.36 : 569,875.74 = 127,237.96 : x
  2. Step 2: Convert to fraction form
    380,044.36/569,875.74 = 127,237.96/x
  3. Step 3: Cross multiply
    380,044.36x = 569,875.74 × 127,237.96
  4. Step 4: Simplify right side
    380,044.36x = 72,509,826,611.09
  5. Step 5: Solve for x
    x = 72,509,826,611.09/380,044.36
  6. Step 6: Final answer
    x = 190,793.06

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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.