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Finding the Fourth Proportional to 419,844.60, 629,535.78 and 286,875

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Solution

The fourth proportional to 419,844.60, 629,535.78 and 286,875 is: 430,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,844.60 : 629,535.78 = 286,875 : x
  2. Step 2: Convert to fraction form
    419,844.60/629,535.78 = 286,875/x
  3. Step 3: Cross multiply
    419,844.60x = 629,535.78 × 286,875
  4. Step 4: Simplify right side
    419,844.60x = 180,598,076,887.50
  5. Step 5: Solve for x
    x = 180,598,076,887.50/419,844.60
  6. Step 6: Final answer
    x = 430,154.58

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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.