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Finding the Fourth Proportional to 435,826.24, 601,197.54 and 405,001

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Solution

The fourth proportional to 435,826.24, 601,197.54 and 405,001 is: 558,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,826.24 : 601,197.54 = 405,001 : x
  2. Step 2: Convert to fraction form
    435,826.24/601,197.54 = 405,001/x
  3. Step 3: Cross multiply
    435,826.24x = 601,197.54 × 405,001
  4. Step 4: Simplify right side
    435,826.24x = 243,485,604,897.54
  5. Step 5: Solve for x
    x = 243,485,604,897.54/435,826.24
  6. Step 6: Final answer
    x = 558,675.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.