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Finding the Fourth Proportional to 465,400.76, 697,928.70 and 165,801.80

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Solution

The fourth proportional to 465,400.76, 697,928.70 and 165,801.80 is: 248,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,400.76 : 697,928.70 = 165,801.80 : x
  2. Step 2: Convert to fraction form
    465,400.76/697,928.70 = 165,801.80/x
  3. Step 3: Cross multiply
    465,400.76x = 697,928.70 × 165,801.80
  4. Step 4: Simplify right side
    465,400.76x = 115,717,837,098.24
  5. Step 5: Solve for x
    x = 115,717,837,098.24/465,400.76
  6. Step 6: Final answer
    x = 248,641.27

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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.