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Finding the Fourth Proportional to 459,017.76, 688,371.84 and 174,640.80

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Solution

The fourth proportional to 459,017.76, 688,371.84 and 174,640.80 is: 261,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,017.76 : 688,371.84 = 174,640.80 : x
  2. Step 2: Convert to fraction form
    459,017.76/688,371.84 = 174,640.80/x
  3. Step 3: Cross multiply
    459,017.76x = 688,371.84 × 174,640.80
  4. Step 4: Simplify right side
    459,017.76x = 120,217,808,835.07
  5. Step 5: Solve for x
    x = 120,217,808,835.07/459,017.76
  6. Step 6: Final answer
    x = 261,902.30

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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.