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Finding the Fourth Proportional to 333,288, 459,941.76 and 182,381.76

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Solution

The fourth proportional to 333,288, 459,941.76 and 182,381.76 is: 251,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,288 : 459,941.76 = 182,381.76 : x
  2. Step 2: Convert to fraction form
    333,288/459,941.76 = 182,381.76/x
  3. Step 3: Cross multiply
    333,288x = 459,941.76 × 182,381.76
  4. Step 4: Simplify right side
    333,288x = 83,884,987,686.30
  5. Step 5: Solve for x
    x = 83,884,987,686.30/333,288
  6. Step 6: Final answer
    x = 251,689.19

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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.