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Finding the Fourth Proportional to 333,306, 459,962.28 and 182,403

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Solution

The fourth proportional to 333,306, 459,962.28 and 182,403 is: 251,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,306 : 459,962.28 = 182,403 : x
  2. Step 2: Convert to fraction form
    333,306/459,962.28 = 182,403/x
  3. Step 3: Cross multiply
    333,306x = 459,962.28 × 182,403
  4. Step 4: Simplify right side
    333,306x = 83,898,499,758.84
  5. Step 5: Solve for x
    x = 83,898,499,758.84/333,306
  6. Step 6: Final answer
    x = 251,716.14

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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.