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Finding the Fourth Proportional to 524,741.04, 786,447 and 335,128.14

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Solution

The fourth proportional to 524,741.04, 786,447 and 335,128.14 is: 502,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,741.04 : 786,447 = 335,128.14 : x
  2. Step 2: Convert to fraction form
    524,741.04/786,447 = 335,128.14/x
  3. Step 3: Cross multiply
    524,741.04x = 786,447 × 335,128.14
  4. Step 4: Simplify right side
    524,741.04x = 263,560,520,318.58
  5. Step 5: Solve for x
    x = 263,560,520,318.58/524,741.04
  6. Step 6: Final answer
    x = 502,267.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.