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Finding the Fourth Proportional to 459,171.68, 688,764.50 and 174,877.95

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Solution

The fourth proportional to 459,171.68, 688,764.50 and 174,877.95 is: 262,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,171.68 : 688,764.50 = 174,877.95 : x
  2. Step 2: Convert to fraction form
    459,171.68/688,764.50 = 174,877.95/x
  3. Step 3: Cross multiply
    459,171.68x = 688,764.50 × 174,877.95
  4. Step 4: Simplify right side
    459,171.68x = 120,449,723,792.78
  5. Step 5: Solve for x
    x = 120,449,723,792.78/459,171.68
  6. Step 6: Final answer
    x = 262,319.58

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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.