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Finding the Fourth Proportional to 380,568.08, 525,184.62 and 210,798.56

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Solution

The fourth proportional to 380,568.08, 525,184.62 and 210,798.56 is: 290,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,568.08 : 525,184.62 = 210,798.56 : x
  2. Step 2: Convert to fraction form
    380,568.08/525,184.62 = 210,798.56/x
  3. Step 3: Cross multiply
    380,568.08x = 525,184.62 × 210,798.56
  4. Step 4: Simplify right side
    380,568.08x = 110,708,161,630.15
  5. Step 5: Solve for x
    x = 110,708,161,630.15/380,568.08
  6. Step 6: Final answer
    x = 290,902.38

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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.