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Finding the Fourth Proportional to 702,657.76, 1,054,015.78 and 204,021.76

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Solution

The fourth proportional to 702,657.76, 1,054,015.78 and 204,021.76 is: 306,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,657.76 : 1,054,015.78 = 204,021.76 : x
  2. Step 2: Convert to fraction form
    702,657.76/1,054,015.78 = 204,021.76/x
  3. Step 3: Cross multiply
    702,657.76x = 1,054,015.78 × 204,021.76
  4. Step 4: Simplify right side
    702,657.76x = 215,042,154,503.37
  5. Step 5: Solve for x
    x = 215,042,154,503.37/702,657.76
  6. Step 6: Final answer
    x = 306,041.10

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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.