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Finding the Fourth Proportional to 333,253, 459,889.14 and 182,350

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Solution

The fourth proportional to 333,253, 459,889.14 and 182,350 is: 251,643

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,253 : 459,889.14 = 182,350 : x
  2. Step 2: Convert to fraction form
    333,253/459,889.14 = 182,350/x
  3. Step 3: Cross multiply
    333,253x = 459,889.14 × 182,350
  4. Step 4: Simplify right side
    333,253x = 83,860,784,679
  5. Step 5: Solve for x
    x = 83,860,784,679/333,253
  6. Step 6: Final answer
    x = 251,643

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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.