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Finding the Fourth Proportional to 523,977.93, 786,061.94 and 299,591.37

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Solution

The fourth proportional to 523,977.93, 786,061.94 and 299,591.37 is: 449,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,977.93 : 786,061.94 = 299,591.37 : x
  2. Step 2: Convert to fraction form
    523,977.93/786,061.94 = 299,591.37/x
  3. Step 3: Cross multiply
    523,977.93x = 786,061.94 × 299,591.37
  4. Step 4: Simplify right side
    523,977.93x = 235,497,373,509.46
  5. Step 5: Solve for x
    x = 235,497,373,509.46/523,977.93
  6. Step 6: Final answer
    x = 449,441.40

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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.