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Finding the Fourth Proportional to 476,437.50, 657,542.16 and 275,233.50

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Solution

The fourth proportional to 476,437.50, 657,542.16 and 275,233.50 is: 379,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,437.50 : 657,542.16 = 275,233.50 : x
  2. Step 2: Convert to fraction form
    476,437.50/657,542.16 = 275,233.50/x
  3. Step 3: Cross multiply
    476,437.50x = 657,542.16 × 275,233.50
  4. Step 4: Simplify right side
    476,437.50x = 180,977,630,094.36
  5. Step 5: Solve for x
    x = 180,977,630,094.36/476,437.50
  6. Step 6: Final answer
    x = 379,855.97

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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.