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Finding the Fourth Proportional to 465,156.37, 697,291.61 and 149,391.84

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Solution

The fourth proportional to 465,156.37, 697,291.61 and 149,391.84 is: 223,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,156.37 : 697,291.61 = 149,391.84 : x
  2. Step 2: Convert to fraction form
    465,156.37/697,291.61 = 149,391.84/x
  3. Step 3: Cross multiply
    465,156.37x = 697,291.61 × 149,391.84
  4. Step 4: Simplify right side
    465,156.37x = 104,169,679,762.84
  5. Step 5: Solve for x
    x = 104,169,679,762.84/465,156.37
  6. Step 6: Final answer
    x = 223,945.51

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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.