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Finding the Fourth Proportional to 938,127, 1,407,190.50 and 412,815

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Solution

The fourth proportional to 938,127, 1,407,190.50 and 412,815 is: 619,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,127 : 1,407,190.50 = 412,815 : x
  2. Step 2: Convert to fraction form
    938,127/1,407,190.50 = 412,815/x
  3. Step 3: Cross multiply
    938,127x = 1,407,190.50 × 412,815
  4. Step 4: Simplify right side
    938,127x = 580,909,346,257.50
  5. Step 5: Solve for x
    x = 580,909,346,257.50/938,127
  6. Step 6: Final answer
    x = 619,222.50

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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.