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Finding the Fourth Proportional to 462,046, 693,108.24 and 129,622

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Solution

The fourth proportional to 462,046, 693,108.24 and 129,622 is: 194,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,046 : 693,108.24 = 129,622 : x
  2. Step 2: Convert to fraction form
    462,046/693,108.24 = 129,622/x
  3. Step 3: Cross multiply
    462,046x = 693,108.24 × 129,622
  4. Step 4: Simplify right side
    462,046x = 89,842,076,285.28
  5. Step 5: Solve for x
    x = 89,842,076,285.28/462,046
  6. Step 6: Final answer
    x = 194,444.01

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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.