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Finding the Fourth Proportional to 393,648.95, 590,567.16 and 127,409.47

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Solution

The fourth proportional to 393,648.95, 590,567.16 and 127,409.47 is: 191,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,648.95 : 590,567.16 = 127,409.47 : x
  2. Step 2: Convert to fraction form
    393,648.95/590,567.16 = 127,409.47/x
  3. Step 3: Cross multiply
    393,648.95x = 590,567.16 × 127,409.47
  4. Step 4: Simplify right side
    393,648.95x = 75,243,848,855.01
  5. Step 5: Solve for x
    x = 75,243,848,855.01/393,648.95
  6. Step 6: Final answer
    x = 191,144.54

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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.