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Finding the Fourth Proportional to 384,507.41, 576,762.47 and 118,266.13

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Solution

The fourth proportional to 384,507.41, 576,762.47 and 118,266.13 is: 177,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,507.41 : 576,762.47 = 118,266.13 : x
  2. Step 2: Convert to fraction form
    384,507.41/576,762.47 = 118,266.13/x
  3. Step 3: Cross multiply
    384,507.41x = 576,762.47 × 118,266.13
  4. Step 4: Simplify right side
    384,507.41x = 68,211,463,250.22
  5. Step 5: Solve for x
    x = 68,211,463,250.22/384,507.41
  6. Step 6: Final answer
    x = 177,399.61

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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.