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Finding the Fourth Proportional to 462,435.81, 693,709.29 and 162,854.47

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Solution

The fourth proportional to 462,435.81, 693,709.29 and 162,854.47 is: 244,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,435.81 : 693,709.29 = 162,854.47 : x
  2. Step 2: Convert to fraction form
    462,435.81/693,709.29 = 162,854.47/x
  3. Step 3: Cross multiply
    462,435.81x = 693,709.29 × 162,854.47
  4. Step 4: Simplify right side
    462,435.81x = 112,973,658,757.03
  5. Step 5: Solve for x
    x = 112,973,658,757.03/462,435.81
  6. Step 6: Final answer
    x = 244,301.28

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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.