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Finding the Fourth Proportional to 435,825.24, 601,196.16 and 405,000

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Solution

The fourth proportional to 435,825.24, 601,196.16 and 405,000 is: 558,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,825.24 : 601,196.16 = 405,000 : x
  2. Step 2: Convert to fraction form
    435,825.24/601,196.16 = 405,000/x
  3. Step 3: Cross multiply
    435,825.24x = 601,196.16 × 405,000
  4. Step 4: Simplify right side
    435,825.24x = 243,484,444,800
  5. Step 5: Solve for x
    x = 243,484,444,800/435,825.24
  6. Step 6: Final answer
    x = 558,674.49

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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.