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Finding the Fourth Proportional to 415,460.04, 622,923.72 and 175,509

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Solution

The fourth proportional to 415,460.04, 622,923.72 and 175,509 is: 263,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,460.04 : 622,923.72 = 175,509 : x
  2. Step 2: Convert to fraction form
    415,460.04/622,923.72 = 175,509/x
  3. Step 3: Cross multiply
    415,460.04x = 622,923.72 × 175,509
  4. Step 4: Simplify right side
    415,460.04x = 109,328,719,173.48
  5. Step 5: Solve for x
    x = 109,328,719,173.48/415,460.04
  6. Step 6: Final answer
    x = 263,150.99

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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.