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Finding the Fourth Proportional to 341,701.70, 512,698.35 and 164,117.30

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Solution

The fourth proportional to 341,701.70, 512,698.35 and 164,117.30 is: 246,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,701.70 : 512,698.35 = 164,117.30 : x
  2. Step 2: Convert to fraction form
    341,701.70/512,698.35 = 164,117.30/x
  3. Step 3: Cross multiply
    341,701.70x = 512,698.35 × 164,117.30
  4. Step 4: Simplify right side
    341,701.70x = 84,142,668,916.46
  5. Step 5: Solve for x
    x = 84,142,668,916.46/341,701.70
  6. Step 6: Final answer
    x = 246,245.98

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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.