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Finding the Fourth Proportional to 542,645.67, 810,016.34 and 502,623.57

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Solution

The fourth proportional to 542,645.67, 810,016.34 and 502,623.57 is: 750,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,645.67 : 810,016.34 = 502,623.57 : x
  2. Step 2: Convert to fraction form
    542,645.67/810,016.34 = 502,623.57/x
  3. Step 3: Cross multiply
    542,645.67x = 810,016.34 × 502,623.57
  4. Step 4: Simplify right side
    542,645.67x = 407,133,305,825.69
  5. Step 5: Solve for x
    x = 407,133,305,825.69/542,645.67
  6. Step 6: Final answer
    x = 750,274.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.