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Finding the Fourth Proportional to 384,543.44, 576,816.48 and 118,302.16

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Solution

The fourth proportional to 384,543.44, 576,816.48 and 118,302.16 is: 177,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,543.44 : 576,816.48 = 118,302.16 : x
  2. Step 2: Convert to fraction form
    384,543.44/576,816.48 = 118,302.16/x
  3. Step 3: Cross multiply
    384,543.44x = 576,816.48 × 118,302.16
  4. Step 4: Simplify right side
    384,543.44x = 68,238,635,507.60
  5. Step 5: Solve for x
    x = 68,238,635,507.60/384,543.44
  6. Step 6: Final answer
    x = 177,453.65

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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.