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Finding the Fourth Proportional to 524,504.12, 723,814.62 and 295,061.57

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Solution

The fourth proportional to 524,504.12, 723,814.62 and 295,061.57 is: 407,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,504.12 : 723,814.62 = 295,061.57 : x
  2. Step 2: Convert to fraction form
    524,504.12/723,814.62 = 295,061.57/x
  3. Step 3: Cross multiply
    524,504.12x = 723,814.62 × 295,061.57
  4. Step 4: Simplify right side
    524,504.12x = 213,569,878,166.15
  5. Step 5: Solve for x
    x = 213,569,878,166.15/524,504.12
  6. Step 6: Final answer
    x = 407,184.37

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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.