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Finding the Fourth Proportional to 461,969.48, 692,999.50 and 192,041.80

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Solution

The fourth proportional to 461,969.48, 692,999.50 and 192,041.80 is: 288,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,969.48 : 692,999.50 = 192,041.80 : x
  2. Step 2: Convert to fraction form
    461,969.48/692,999.50 = 192,041.80/x
  3. Step 3: Cross multiply
    461,969.48x = 692,999.50 × 192,041.80
  4. Step 4: Simplify right side
    461,969.48x = 133,084,871,379.10
  5. Step 5: Solve for x
    x = 133,084,871,379.10/461,969.48
  6. Step 6: Final answer
    x = 288,081.52

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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.