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Finding the Fourth Proportional to 459,165.49, 688,755.25 and 174,871.84

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Solution

The fourth proportional to 459,165.49, 688,755.25 and 174,871.84 is: 262,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,165.49 : 688,755.25 = 174,871.84 : x
  2. Step 2: Convert to fraction form
    459,165.49/688,755.25 = 174,871.84/x
  3. Step 3: Cross multiply
    459,165.49x = 688,755.25 × 174,871.84
  4. Step 4: Simplify right side
    459,165.49x = 120,443,897,877.16
  5. Step 5: Solve for x
    x = 120,443,897,877.16/459,165.49
  6. Step 6: Final answer
    x = 262,310.43

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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.