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Finding the Fourth Proportional to 513,671.40, 770,276.70 and 233,044.20

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Solution

The fourth proportional to 513,671.40, 770,276.70 and 233,044.20 is: 349,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,671.40 : 770,276.70 = 233,044.20 : x
  2. Step 2: Convert to fraction form
    513,671.40/770,276.70 = 233,044.20/x
  3. Step 3: Cross multiply
    513,671.40x = 770,276.70 × 233,044.20
  4. Step 4: Simplify right side
    513,671.40x = 179,508,517,330.14
  5. Step 5: Solve for x
    x = 179,508,517,330.14/513,671.40
  6. Step 6: Final answer
    x = 349,461.77

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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.