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Finding the Fourth Proportional to 496,116, 744,174.04 and 145,908

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Solution

The fourth proportional to 496,116, 744,174.04 and 145,908 is: 218,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,116 : 744,174.04 = 145,908 : x
  2. Step 2: Convert to fraction form
    496,116/744,174.04 = 145,908/x
  3. Step 3: Cross multiply
    496,116x = 744,174.04 × 145,908
  4. Step 4: Simplify right side
    496,116x = 108,580,945,828.32
  5. Step 5: Solve for x
    x = 108,580,945,828.32/496,116
  6. Step 6: Final answer
    x = 218,862.01

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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.