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Finding the Fourth Proportional to 380,743.03, 525,425.38 and 210,977.16

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Solution

The fourth proportional to 380,743.03, 525,425.38 and 210,977.16 is: 291,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,743.03 : 525,425.38 = 210,977.16 : x
  2. Step 2: Convert to fraction form
    380,743.03/525,425.38 = 210,977.16/x
  3. Step 3: Cross multiply
    380,743.03x = 525,425.38 × 210,977.16
  4. Step 4: Simplify right side
    380,743.03x = 110,852,753,153.28
  5. Step 5: Solve for x
    x = 110,852,753,153.28/380,743.03
  6. Step 6: Final answer
    x = 291,148.48

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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.