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Finding the Fourth Proportional to 524,729.25, 787,062.54 and 308,709.34

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Solution

The fourth proportional to 524,729.25, 787,062.54 and 308,709.34 is: 463,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,729.25 : 787,062.54 = 308,709.34 : x
  2. Step 2: Convert to fraction form
    524,729.25/787,062.54 = 308,709.34/x
  3. Step 3: Cross multiply
    524,729.25x = 787,062.54 × 308,709.34
  4. Step 4: Simplify right side
    524,729.25x = 242,973,557,262.12
  5. Step 5: Solve for x
    x = 242,973,557,262.12/524,729.25
  6. Step 6: Final answer
    x = 463,045.57

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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.