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Finding the Fourth Proportional to 1,164,222, 1,746,333 and 322,773.75

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Solution

The fourth proportional to 1,164,222, 1,746,333 and 322,773.75 is: 484,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,222 : 1,746,333 = 322,773.75 : x
  2. Step 2: Convert to fraction form
    1,164,222/1,746,333 = 322,773.75/x
  3. Step 3: Cross multiply
    1,164,222x = 1,746,333 × 322,773.75
  4. Step 4: Simplify right side
    1,164,222x = 563,670,451,158.75
  5. Step 5: Solve for x
    x = 563,670,451,158.75/1,164,222
  6. Step 6: Final answer
    x = 484,160.63

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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.