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Finding the Fourth Proportional to 647,205.53, 970,045.81 and 291,803.45

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Solution

The fourth proportional to 647,205.53, 970,045.81 and 291,803.45 is: 437,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,205.53 : 970,045.81 = 291,803.45 : x
  2. Step 2: Convert to fraction form
    647,205.53/970,045.81 = 291,803.45/x
  3. Step 3: Cross multiply
    647,205.53x = 970,045.81 × 291,803.45
  4. Step 4: Simplify right side
    647,205.53x = 283,062,714,016.05
  5. Step 5: Solve for x
    x = 283,062,714,016.05/647,205.53
  6. Step 6: Final answer
    x = 437,361.40

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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.