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Finding the Fourth Proportional to 385,293.51, 532,213.38 and 295,755.93

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Solution

The fourth proportional to 385,293.51, 532,213.38 and 295,755.93 is: 408,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,293.51 : 532,213.38 = 295,755.93 : x
  2. Step 2: Convert to fraction form
    385,293.51/532,213.38 = 295,755.93/x
  3. Step 3: Cross multiply
    385,293.51x = 532,213.38 × 295,755.93
  4. Step 4: Simplify right side
    385,293.51x = 157,405,263,160.34
  5. Step 5: Solve for x
    x = 157,405,263,160.34/385,293.51
  6. Step 6: Final answer
    x = 408,533.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.