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Finding the Fourth Proportional to 524,892.42, 786,077.49 and 299,569.74

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Solution

The fourth proportional to 524,892.42, 786,077.49 and 299,569.74 is: 448,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,892.42 : 786,077.49 = 299,569.74 : x
  2. Step 2: Convert to fraction form
    524,892.42/786,077.49 = 299,569.74/x
  3. Step 3: Cross multiply
    524,892.42x = 786,077.49 × 299,569.74
  4. Step 4: Simplify right side
    524,892.42x = 235,485,029,299.15
  5. Step 5: Solve for x
    x = 235,485,029,299.15/524,892.42
  6. Step 6: Final answer
    x = 448,634.84

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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.