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Finding the Fourth Proportional to 462,433.81, 693,706.29 and 162,852.47

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Solution

The fourth proportional to 462,433.81, 693,706.29 and 162,852.47 is: 244,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,433.81 : 693,706.29 = 162,852.47 : x
  2. Step 2: Convert to fraction form
    462,433.81/693,706.29 = 162,852.47/x
  3. Step 3: Cross multiply
    462,433.81x = 693,706.29 × 162,852.47
  4. Step 4: Simplify right side
    462,433.81x = 112,971,782,781.04
  5. Step 5: Solve for x
    x = 112,971,782,781.04/462,433.81
  6. Step 6: Final answer
    x = 244,298.28

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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.