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Finding the Fourth Proportional to 465,374.80, 698,161.40 and 265,790.80

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Solution

The fourth proportional to 465,374.80, 698,161.40 and 265,790.80 is: 398,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,374.80 : 698,161.40 = 265,790.80 : x
  2. Step 2: Convert to fraction form
    465,374.80/698,161.40 = 265,790.80/x
  3. Step 3: Cross multiply
    465,374.80x = 698,161.40 × 265,790.80
  4. Step 4: Simplify right side
    465,374.80x = 185,564,877,035.12
  5. Step 5: Solve for x
    x = 185,564,877,035.12/465,374.80
  6. Step 6: Final answer
    x = 398,742.86

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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.