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Finding the Fourth Proportional to 457,124.94, 682,907.43 and 295,887.30

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Solution

The fourth proportional to 457,124.94, 682,907.43 and 295,887.30 is: 442,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,124.94 : 682,907.43 = 295,887.30 : x
  2. Step 2: Convert to fraction form
    457,124.94/682,907.43 = 295,887.30/x
  3. Step 3: Cross multiply
    457,124.94x = 682,907.43 × 295,887.30
  4. Step 4: Simplify right side
    457,124.94x = 202,063,635,612.64
  5. Step 5: Solve for x
    x = 202,063,635,612.64/457,124.94
  6. Step 6: Final answer
    x = 442,031.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.