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Finding the Fourth Proportional to 524,614.10, 723,951.70 and 295,184.12

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Solution

The fourth proportional to 524,614.10, 723,951.70 and 295,184.12 is: 407,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,614.10 : 723,951.70 = 295,184.12 : x
  2. Step 2: Convert to fraction form
    524,614.10/723,951.70 = 295,184.12/x
  3. Step 3: Cross multiply
    524,614.10x = 723,951.70 × 295,184.12
  4. Step 4: Simplify right side
    524,614.10x = 213,699,045,487.00
  5. Step 5: Solve for x
    x = 213,699,045,487.00/524,614.10
  6. Step 6: Final answer
    x = 407,345.22

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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.