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Finding the Fourth Proportional to 702,752, 1,054,157.16 and 204,116

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Solution

The fourth proportional to 702,752, 1,054,157.16 and 204,116 is: 306,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,752 : 1,054,157.16 = 204,116 : x
  2. Step 2: Convert to fraction form
    702,752/1,054,157.16 = 204,116/x
  3. Step 3: Cross multiply
    702,752x = 1,054,157.16 × 204,116
  4. Step 4: Simplify right side
    702,752x = 215,170,342,870.56
  5. Step 5: Solve for x
    x = 215,170,342,870.56/702,752
  6. Step 6: Final answer
    x = 306,182.47

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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.