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Finding the Fourth Proportional to 341,328.28, 511,952.43 and 214,594.36

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Solution

The fourth proportional to 341,328.28, 511,952.43 and 214,594.36 is: 321,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,328.28 : 511,952.43 = 214,594.36 : x
  2. Step 2: Convert to fraction form
    341,328.28/511,952.43 = 214,594.36/x
  3. Step 3: Cross multiply
    341,328.28x = 511,952.43 × 214,594.36
  4. Step 4: Simplify right side
    341,328.28x = 109,862,104,066.30
  5. Step 5: Solve for x
    x = 109,862,104,066.30/341,328.28
  6. Step 6: Final answer
    x = 321,866.40

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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.