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Finding the Fourth Proportional to 314,798.96, 434,401.44 and 178,861.52

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Solution

The fourth proportional to 314,798.96, 434,401.44 and 178,861.52 is: 246,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,798.96 : 434,401.44 = 178,861.52 : x
  2. Step 2: Convert to fraction form
    314,798.96/434,401.44 = 178,861.52/x
  3. Step 3: Cross multiply
    314,798.96x = 434,401.44 × 178,861.52
  4. Step 4: Simplify right side
    314,798.96x = 77,697,701,848.59
  5. Step 5: Solve for x
    x = 77,697,701,848.59/314,798.96
  6. Step 6: Final answer
    x = 246,816.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.