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Finding the Fourth Proportional to 462,193.40, 693,290.10 and 162,671.60

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Solution

The fourth proportional to 462,193.40, 693,290.10 and 162,671.60 is: 244,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,193.40 : 693,290.10 = 162,671.60 : x
  2. Step 2: Convert to fraction form
    462,193.40/693,290.10 = 162,671.60/x
  3. Step 3: Cross multiply
    462,193.40x = 693,290.10 × 162,671.60
  4. Step 4: Simplify right side
    462,193.40x = 112,778,609,831.16
  5. Step 5: Solve for x
    x = 112,778,609,831.16/462,193.40
  6. Step 6: Final answer
    x = 244,007.40

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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.