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Finding the Fourth Proportional to 476,874.54, 657,813.15 and 297,715.50

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Solution

The fourth proportional to 476,874.54, 657,813.15 and 297,715.50 is: 410,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,874.54 : 657,813.15 = 297,715.50 : x
  2. Step 2: Convert to fraction form
    476,874.54/657,813.15 = 297,715.50/x
  3. Step 3: Cross multiply
    476,874.54x = 657,813.15 × 297,715.50
  4. Step 4: Simplify right side
    476,874.54x = 195,841,170,858.83
  5. Step 5: Solve for x
    x = 195,841,170,858.83/476,874.54
  6. Step 6: Final answer
    x = 410,676.51

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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.