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Finding the Fourth Proportional to 314,564, 434,098.32 and 173,252

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Solution

The fourth proportional to 314,564, 434,098.32 and 173,252 is: 239,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,564 : 434,098.32 = 173,252 : x
  2. Step 2: Convert to fraction form
    314,564/434,098.32 = 173,252/x
  3. Step 3: Cross multiply
    314,564x = 434,098.32 × 173,252
  4. Step 4: Simplify right side
    314,564x = 75,208,402,136.64
  5. Step 5: Solve for x
    x = 75,208,402,136.64/314,564
  6. Step 6: Final answer
    x = 239,087.76

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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.