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Finding the Fourth Proportional to 524,147.75, 723,315.89 and 294,705.25

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Solution

The fourth proportional to 524,147.75, 723,315.89 and 294,705.25 is: 406,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,147.75 : 723,315.89 = 294,705.25 : x
  2. Step 2: Convert to fraction form
    524,147.75/723,315.89 = 294,705.25/x
  3. Step 3: Cross multiply
    524,147.75x = 723,315.89 × 294,705.25
  4. Step 4: Simplify right side
    524,147.75x = 213,164,988,893.77
  5. Step 5: Solve for x
    x = 213,164,988,893.77/524,147.75
  6. Step 6: Final answer
    x = 406,688.74

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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.