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Finding the Fourth Proportional to 459,177.25, 688,772.88 and 174,883.59

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Solution

The fourth proportional to 459,177.25, 688,772.88 and 174,883.59 is: 262,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,177.25 : 688,772.88 = 174,883.59 : x
  2. Step 2: Convert to fraction form
    459,177.25/688,772.88 = 174,883.59/x
  3. Step 3: Cross multiply
    459,177.25x = 688,772.88 × 174,883.59
  4. Step 4: Simplify right side
    459,177.25x = 120,455,073,949.04
  5. Step 5: Solve for x
    x = 120,455,073,949.04/459,177.25
  6. Step 6: Final answer
    x = 262,328.05

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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.