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Finding the Fourth Proportional to 214,938.40, 322,407.60 and 176,884.60

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Solution

The fourth proportional to 214,938.40, 322,407.60 and 176,884.60 is: 265,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,938.40 : 322,407.60 = 176,884.60 : x
  2. Step 2: Convert to fraction form
    214,938.40/322,407.60 = 176,884.60/x
  3. Step 3: Cross multiply
    214,938.40x = 322,407.60 × 176,884.60
  4. Step 4: Simplify right side
    214,938.40x = 57,028,939,362.96
  5. Step 5: Solve for x
    x = 57,028,939,362.96/214,938.40
  6. Step 6: Final answer
    x = 265,326.90

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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.