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Finding the Fourth Proportional to 545,903.30, 753,338.93 and 304,196.06

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Solution

The fourth proportional to 545,903.30, 753,338.93 and 304,196.06 is: 419,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,903.30 : 753,338.93 = 304,196.06 : x
  2. Step 2: Convert to fraction form
    545,903.30/753,338.93 = 304,196.06/x
  3. Step 3: Cross multiply
    545,903.30x = 753,338.93 × 304,196.06
  4. Step 4: Simplify right side
    545,903.30x = 229,162,729,062.94
  5. Step 5: Solve for x
    x = 229,162,729,062.94/545,903.30
  6. Step 6: Final answer
    x = 419,786.31

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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.