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Finding the Fourth Proportional to 343,274.71, 514,241.71 and 163,103.72

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Solution

The fourth proportional to 343,274.71, 514,241.71 and 163,103.72 is: 244,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,274.71 : 514,241.71 = 163,103.72 : x
  2. Step 2: Convert to fraction form
    343,274.71/514,241.71 = 163,103.72/x
  3. Step 3: Cross multiply
    343,274.71x = 514,241.71 × 163,103.72
  4. Step 4: Simplify right side
    343,274.71x = 83,874,735,880.16
  5. Step 5: Solve for x
    x = 83,874,735,880.16/343,274.71
  6. Step 6: Final answer
    x = 244,337.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.