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Finding the Fourth Proportional to 380,340, 524,869.20 and 210,585.06

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Solution

The fourth proportional to 380,340, 524,869.20 and 210,585.06 is: 290,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,340 : 524,869.20 = 210,585.06 : x
  2. Step 2: Convert to fraction form
    380,340/524,869.20 = 210,585.06/x
  3. Step 3: Cross multiply
    380,340x = 524,869.20 × 210,585.06
  4. Step 4: Simplify right side
    380,340x = 110,529,611,974.15
  5. Step 5: Solve for x
    x = 110,529,611,974.15/380,340
  6. Step 6: Final answer
    x = 290,607.38

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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.