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Finding the Fourth Proportional to 380,726.42, 525,405.57 and 210,963.38

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Solution

The fourth proportional to 380,726.42, 525,405.57 and 210,963.38 is: 291,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,726.42 : 525,405.57 = 210,963.38 : x
  2. Step 2: Convert to fraction form
    380,726.42/525,405.57 = 210,963.38/x
  3. Step 3: Cross multiply
    380,726.42x = 525,405.57 × 210,963.38
  4. Step 4: Simplify right side
    380,726.42x = 110,841,334,918.03
  5. Step 5: Solve for x
    x = 110,841,334,918.03/380,726.42
  6. Step 6: Final answer
    x = 291,131.19

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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.