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Finding the Fourth Proportional to 576,029.10, 864,043.65 and 543,369.90

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Solution

The fourth proportional to 576,029.10, 864,043.65 and 543,369.90 is: 815,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,029.10 : 864,043.65 = 543,369.90 : x
  2. Step 2: Convert to fraction form
    576,029.10/864,043.65 = 543,369.90/x
  3. Step 3: Cross multiply
    576,029.10x = 864,043.65 × 543,369.90
  4. Step 4: Simplify right side
    576,029.10x = 469,495,311,696.14
  5. Step 5: Solve for x
    x = 469,495,311,696.14/576,029.10
  6. Step 6: Final answer
    x = 815,054.85

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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.