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Finding the Fourth Proportional to 401,342.10, 602,025.84 and 148,685.82

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Solution

The fourth proportional to 401,342.10, 602,025.84 and 148,685.82 is: 223,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,342.10 : 602,025.84 = 148,685.82 : x
  2. Step 2: Convert to fraction form
    401,342.10/602,025.84 = 148,685.82/x
  3. Step 3: Cross multiply
    401,342.10x = 602,025.84 × 148,685.82
  4. Step 4: Simplify right side
    401,342.10x = 89,512,705,681.59
  5. Step 5: Solve for x
    x = 89,512,705,681.59/401,342.10
  6. Step 6: Final answer
    x = 223,033.43

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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.