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Finding the Fourth Proportional to 541,644.42, 747,468 and 312,199.86

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Solution

The fourth proportional to 541,644.42, 747,468 and 312,199.86 is: 430,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,644.42 : 747,468 = 312,199.86 : x
  2. Step 2: Convert to fraction form
    541,644.42/747,468 = 312,199.86/x
  3. Step 3: Cross multiply
    541,644.42x = 747,468 × 312,199.86
  4. Step 4: Simplify right side
    541,644.42x = 233,359,404,954.48
  5. Step 5: Solve for x
    x = 233,359,404,954.48/541,644.42
  6. Step 6: Final answer
    x = 430,835.06

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1.5x scale

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.