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Finding the Fourth Proportional to 462,062.93, 693,160.08 and 142,241.47

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Solution

The fourth proportional to 462,062.93, 693,160.08 and 142,241.47 is: 213,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,062.93 : 693,160.08 = 142,241.47 : x
  2. Step 2: Convert to fraction form
    462,062.93/693,160.08 = 142,241.47/x
  3. Step 3: Cross multiply
    462,062.93x = 693,160.08 × 142,241.47
  4. Step 4: Simplify right side
    462,062.93x = 98,596,107,258.32
  5. Step 5: Solve for x
    x = 98,596,107,258.32/462,062.93
  6. Step 6: Final answer
    x = 213,382.42

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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.