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Finding the Fourth Proportional to 227,810.40, 341,715.60 and 214,688.40

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Solution

The fourth proportional to 227,810.40, 341,715.60 and 214,688.40 is: 322,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,810.40 : 341,715.60 = 214,688.40 : x
  2. Step 2: Convert to fraction form
    227,810.40/341,715.60 = 214,688.40/x
  3. Step 3: Cross multiply
    227,810.40x = 341,715.60 × 214,688.40
  4. Step 4: Simplify right side
    227,810.40x = 73,362,375,419.04
  5. Step 5: Solve for x
    x = 73,362,375,419.04/227,810.40
  6. Step 6: Final answer
    x = 322,032.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.