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Finding the Fourth Proportional to 412,699.72, 619,224.56 and 225,492.52

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Solution

The fourth proportional to 412,699.72, 619,224.56 and 225,492.52 is: 338,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,699.72 : 619,224.56 = 225,492.52 : x
  2. Step 2: Convert to fraction form
    412,699.72/619,224.56 = 225,492.52/x
  3. Step 3: Cross multiply
    412,699.72x = 619,224.56 × 225,492.52
  4. Step 4: Simplify right side
    412,699.72x = 139,630,506,480.29
  5. Step 5: Solve for x
    x = 139,630,506,480.29/412,699.72
  6. Step 6: Final answer
    x = 338,334.39

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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.