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Finding the Fourth Proportional to 492,362.76, 738,248.76 and 225,789.36

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Solution

The fourth proportional to 492,362.76, 738,248.76 and 225,789.36 is: 338,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,362.76 : 738,248.76 = 225,789.36 : x
  2. Step 2: Convert to fraction form
    492,362.76/738,248.76 = 225,789.36/x
  3. Step 3: Cross multiply
    492,362.76x = 738,248.76 × 225,789.36
  4. Step 4: Simplify right side
    492,362.76x = 166,688,715,041.19
  5. Step 5: Solve for x
    x = 166,688,715,041.19/492,362.76
  6. Step 6: Final answer
    x = 338,548.58

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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.