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Finding the Fourth Proportional to 314,703.84, 434,296.26 and 171,463.86

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Solution

The fourth proportional to 314,703.84, 434,296.26 and 171,463.86 is: 236,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,703.84 : 434,296.26 = 171,463.86 : x
  2. Step 2: Convert to fraction form
    314,703.84/434,296.26 = 171,463.86/x
  3. Step 3: Cross multiply
    314,703.84x = 434,296.26 × 171,463.86
  4. Step 4: Simplify right side
    314,703.84x = 74,466,113,123.16
  5. Step 5: Solve for x
    x = 74,466,113,123.16/314,703.84
  6. Step 6: Final answer
    x = 236,622.83

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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.