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Finding the Fourth Proportional to 380,729.42, 525,409.71 and 210,966.38

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Solution

The fourth proportional to 380,729.42, 525,409.71 and 210,966.38 is: 291,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,729.42 : 525,409.71 = 210,966.38 : x
  2. Step 2: Convert to fraction form
    380,729.42/525,409.71 = 210,966.38/x
  3. Step 3: Cross multiply
    380,729.42x = 525,409.71 × 210,966.38
  4. Step 4: Simplify right side
    380,729.42x = 110,843,784,535.55
  5. Step 5: Solve for x
    x = 110,843,784,535.55/380,729.42
  6. Step 6: Final answer
    x = 291,135.33

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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.