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Finding the Fourth Proportional to 539,202, 744,098.76 and 300,738

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Solution

The fourth proportional to 539,202, 744,098.76 and 300,738 is: 415,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,202 : 744,098.76 = 300,738 : x
  2. Step 2: Convert to fraction form
    539,202/744,098.76 = 300,738/x
  3. Step 3: Cross multiply
    539,202x = 744,098.76 × 300,738
  4. Step 4: Simplify right side
    539,202x = 223,778,772,884.88
  5. Step 5: Solve for x
    x = 223,778,772,884.88/539,202
  6. Step 6: Final answer
    x = 415,018.44

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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.