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Finding the Fourth Proportional to 547,825.72, 821,925.41 and 295,132.13

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Solution

The fourth proportional to 547,825.72, 821,925.41 and 295,132.13 is: 442,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,825.72 : 821,925.41 = 295,132.13 : x
  2. Step 2: Convert to fraction form
    547,825.72/821,925.41 = 295,132.13/x
  3. Step 3: Cross multiply
    547,825.72x = 821,925.41 × 295,132.13
  4. Step 4: Simplify right side
    547,825.72x = 242,576,595,478.76
  5. Step 5: Solve for x
    x = 242,576,595,478.76/547,825.72
  6. Step 6: Final answer
    x = 442,798.85

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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.