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Finding the Fourth Proportional to 375,883.96, 564,307.09 and 322,914.82

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Solution

The fourth proportional to 375,883.96, 564,307.09 and 322,914.82 is: 484,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,883.96 : 564,307.09 = 322,914.82 : x
  2. Step 2: Convert to fraction form
    375,883.96/564,307.09 = 322,914.82/x
  3. Step 3: Cross multiply
    375,883.96x = 564,307.09 × 322,914.82
  4. Step 4: Simplify right side
    375,883.96x = 182,223,122,392.07
  5. Step 5: Solve for x
    x = 182,223,122,392.07/375,883.96
  6. Step 6: Final answer
    x = 484,785.58

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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.