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Finding the Fourth Proportional to 315,052.36, 434,768.34 and 171,809.08

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Solution

The fourth proportional to 315,052.36, 434,768.34 and 171,809.08 is: 237,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,052.36 : 434,768.34 = 171,809.08 : x
  2. Step 2: Convert to fraction form
    315,052.36/434,768.34 = 171,809.08/x
  3. Step 3: Cross multiply
    315,052.36x = 434,768.34 × 171,809.08
  4. Step 4: Simplify right side
    315,052.36x = 74,697,148,508.53
  5. Step 5: Solve for x
    x = 74,697,148,508.53/315,052.36
  6. Step 6: Final answer
    x = 237,094.39

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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.