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Finding the Fourth Proportional to 401,563.17, 601,960.77 and 148,775.81

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Solution

The fourth proportional to 401,563.17, 601,960.77 and 148,775.81 is: 223,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,563.17 : 601,960.77 = 148,775.81 : x
  2. Step 2: Convert to fraction form
    401,563.17/601,960.77 = 148,775.81/x
  3. Step 3: Cross multiply
    401,563.17x = 601,960.77 × 148,775.81
  4. Step 4: Simplify right side
    401,563.17x = 89,557,200,392.52
  5. Step 5: Solve for x
    x = 89,557,200,392.52/401,563.17
  6. Step 6: Final answer
    x = 223,021.45

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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.