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Finding the Fourth Proportional to 461,937.80, 693,137.10 and 262,411.40

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Solution

The fourth proportional to 461,937.80, 693,137.10 and 262,411.40 is: 393,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,937.80 : 693,137.10 = 262,411.40 : x
  2. Step 2: Convert to fraction form
    461,937.80/693,137.10 = 262,411.40/x
  3. Step 3: Cross multiply
    461,937.80x = 693,137.10 × 262,411.40
  4. Step 4: Simplify right side
    461,937.80x = 181,887,076,802.94
  5. Step 5: Solve for x
    x = 181,887,076,802.94/461,937.80
  6. Step 6: Final answer
    x = 393,747.98

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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.