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Finding the Fourth Proportional to 523,131.48, 784,693.44 and 346,429.44

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Solution

The fourth proportional to 523,131.48, 784,693.44 and 346,429.44 is: 519,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,131.48 : 784,693.44 = 346,429.44 : x
  2. Step 2: Convert to fraction form
    523,131.48/784,693.44 = 346,429.44/x
  3. Step 3: Cross multiply
    523,131.48x = 784,693.44 × 346,429.44
  4. Step 4: Simplify right side
    523,131.48x = 271,840,908,990.87
  5. Step 5: Solve for x
    x = 271,840,908,990.87/523,131.48
  6. Step 6: Final answer
    x = 519,641.66

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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.