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Finding the Fourth Proportional to 380,590, 525,214.20 and 210,835.12

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Solution

The fourth proportional to 380,590, 525,214.20 and 210,835.12 is: 290,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,590 : 525,214.20 = 210,835.12 : x
  2. Step 2: Convert to fraction form
    380,590/525,214.20 = 210,835.12/x
  3. Step 3: Cross multiply
    380,590x = 525,214.20 × 210,835.12
  4. Step 4: Simplify right side
    380,590x = 110,733,598,882.70
  5. Step 5: Solve for x
    x = 110,733,598,882.70/380,590
  6. Step 6: Final answer
    x = 290,952.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.