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Finding the Fourth Proportional to 519,326.40, 778,912.80 and 145,387.20

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Solution

The fourth proportional to 519,326.40, 778,912.80 and 145,387.20 is: 218,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,326.40 : 778,912.80 = 145,387.20 : x
  2. Step 2: Convert to fraction form
    519,326.40/778,912.80 = 145,387.20/x
  3. Step 3: Cross multiply
    519,326.40x = 778,912.80 × 145,387.20
  4. Step 4: Simplify right side
    519,326.40x = 113,243,951,036.16
  5. Step 5: Solve for x
    x = 113,243,951,036.16/519,326.40
  6. Step 6: Final answer
    x = 218,059.30

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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.