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Finding the Fourth Proportional to 333,252, 459,887.76 and 182,349

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Solution

The fourth proportional to 333,252, 459,887.76 and 182,349 is: 251,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,252 : 459,887.76 = 182,349 : x
  2. Step 2: Convert to fraction form
    333,252/459,887.76 = 182,349/x
  3. Step 3: Cross multiply
    333,252x = 459,887.76 × 182,349
  4. Step 4: Simplify right side
    333,252x = 83,860,073,148.24
  5. Step 5: Solve for x
    x = 83,860,073,148.24/333,252
  6. Step 6: Final answer
    x = 251,641.62

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Why These Related Problems?

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