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Finding the Fourth Proportional to 403,852.68, 557,320.50 and 222,571.14

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Solution

The fourth proportional to 403,852.68, 557,320.50 and 222,571.14 is: 307,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,852.68 : 557,320.50 = 222,571.14 : x
  2. Step 2: Convert to fraction form
    403,852.68/557,320.50 = 222,571.14/x
  3. Step 3: Cross multiply
    403,852.68x = 557,320.50 × 222,571.14
  4. Step 4: Simplify right side
    403,852.68x = 124,043,459,030.37
  5. Step 5: Solve for x
    x = 124,043,459,030.37/403,852.68
  6. Step 6: Final answer
    x = 307,150.27

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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.