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Finding the Fourth Proportional to 531,882.24, 797,823.36 and 421,152

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Solution

The fourth proportional to 531,882.24, 797,823.36 and 421,152 is: 631,728

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,882.24 : 797,823.36 = 421,152 : x
  2. Step 2: Convert to fraction form
    531,882.24/797,823.36 = 421,152/x
  3. Step 3: Cross multiply
    531,882.24x = 797,823.36 × 421,152
  4. Step 4: Simplify right side
    531,882.24x = 336,004,903,710.72
  5. Step 5: Solve for x
    x = 336,004,903,710.72/531,882.24
  6. Step 6: Final answer
    x = 631,728

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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.