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Finding the Fourth Proportional to 462,065.93, 693,164.58 and 142,244.48

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Solution

The fourth proportional to 462,065.93, 693,164.58 and 142,244.48 is: 213,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,065.93 : 693,164.58 = 142,244.48 : x
  2. Step 2: Convert to fraction form
    462,065.93/693,164.58 = 142,244.48/x
  3. Step 3: Cross multiply
    462,065.93x = 693,164.58 × 142,244.48
  4. Step 4: Simplify right side
    462,065.93x = 98,598,831,770.70
  5. Step 5: Solve for x
    x = 98,598,831,770.70/462,065.93
  6. Step 6: Final answer
    x = 213,386.94

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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.