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Finding the Fourth Proportional to 314,833.48, 434,457.48 and 171,590.44

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Solution

The fourth proportional to 314,833.48, 434,457.48 and 171,590.44 is: 236,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,833.48 : 434,457.48 = 171,590.44 : x
  2. Step 2: Convert to fraction form
    314,833.48/434,457.48 = 171,590.44/x
  3. Step 3: Cross multiply
    314,833.48x = 434,457.48 × 171,590.44
  4. Step 4: Simplify right side
    314,833.48x = 74,548,750,154.49
  5. Step 5: Solve for x
    x = 74,548,750,154.49/314,833.48
  6. Step 6: Final answer
    x = 236,787.87

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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.