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Finding the Fourth Proportional to 524,403, 723,697.81 and 294,971.04

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Solution

The fourth proportional to 524,403, 723,697.81 and 294,971.04 is: 407,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,403 : 723,697.81 = 294,971.04 : x
  2. Step 2: Convert to fraction form
    524,403/723,697.81 = 294,971.04/x
  3. Step 3: Cross multiply
    524,403x = 723,697.81 × 294,971.04
  4. Step 4: Simplify right side
    524,403x = 213,469,894,924.00
  5. Step 5: Solve for x
    x = 213,469,894,924.00/524,403
  6. Step 6: Final answer
    x = 407,072.22

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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.