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Finding the Fourth Proportional to 380,494.63, 525,061.52 and 210,715.39

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Solution

The fourth proportional to 380,494.63, 525,061.52 and 210,715.39 is: 290,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,494.63 : 525,061.52 = 210,715.39 : x
  2. Step 2: Convert to fraction form
    380,494.63/525,061.52 = 210,715.39/x
  3. Step 3: Cross multiply
    380,494.63x = 525,061.52 × 210,715.39
  4. Step 4: Simplify right side
    380,494.63x = 110,638,540,335.49
  5. Step 5: Solve for x
    x = 110,638,540,335.49/380,494.63
  6. Step 6: Final answer
    x = 290,775.57

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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.