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Finding the Fourth Proportional to 314,794.32, 434,403.54 and 171,551.31

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Solution

The fourth proportional to 314,794.32, 434,403.54 and 171,551.31 is: 236,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,794.32 : 434,403.54 = 171,551.31 : x
  2. Step 2: Convert to fraction form
    314,794.32/434,403.54 = 171,551.31/x
  3. Step 3: Cross multiply
    314,794.32x = 434,403.54 × 171,551.31
  4. Step 4: Simplify right side
    314,794.32x = 74,522,496,355.64
  5. Step 5: Solve for x
    x = 74,522,496,355.64/314,794.32
  6. Step 6: Final answer
    x = 236,733.93

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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.