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Finding the Fourth Proportional to 465,005.40, 697,605.30 and 149,494.20

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Solution

The fourth proportional to 465,005.40, 697,605.30 and 149,494.20 is: 224,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,005.40 : 697,605.30 = 149,494.20 : x
  2. Step 2: Convert to fraction form
    465,005.40/697,605.30 = 149,494.20/x
  3. Step 3: Cross multiply
    465,005.40x = 697,605.30 × 149,494.20
  4. Step 4: Simplify right side
    465,005.40x = 104,287,946,239.26
  5. Step 5: Solve for x
    x = 104,287,946,239.26/465,005.40
  6. Step 6: Final answer
    x = 224,272.55

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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.