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Finding the Fourth Proportional to 400,616, 600,060.09 and 377,062.01

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Solution

The fourth proportional to 400,616, 600,060.09 and 377,062.01 is: 564,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,616 : 600,060.09 = 377,062.01 : x
  2. Step 2: Convert to fraction form
    400,616/600,060.09 = 377,062.01/x
  3. Step 3: Cross multiply
    400,616x = 600,060.09 × 377,062.01
  4. Step 4: Simplify right side
    400,616x = 226,259,863,656.18
  5. Step 5: Solve for x
    x = 226,259,863,656.18/400,616
  6. Step 6: Final answer
    x = 564,779.90

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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.