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Finding the Fourth Proportional to 524,704.58, 724,036.49 and 295,257.86

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Solution

The fourth proportional to 524,704.58, 724,036.49 and 295,257.86 is: 407,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,704.58 : 724,036.49 = 295,257.86 : x
  2. Step 2: Convert to fraction form
    524,704.58/724,036.49 = 295,257.86/x
  3. Step 3: Cross multiply
    524,704.58x = 724,036.49 × 295,257.86
  4. Step 4: Simplify right side
    524,704.58x = 213,777,459,502.84
  5. Step 5: Solve for x
    x = 213,777,459,502.84/524,704.58
  6. Step 6: Final answer
    x = 407,424.42

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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.