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Finding the Fourth Proportional to 492,005.70, 738,008.55 and 450,015.30

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Solution

The fourth proportional to 492,005.70, 738,008.55 and 450,015.30 is: 675,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,005.70 : 738,008.55 = 450,015.30 : x
  2. Step 2: Convert to fraction form
    492,005.70/738,008.55 = 450,015.30/x
  3. Step 3: Cross multiply
    492,005.70x = 738,008.55 × 450,015.30
  4. Step 4: Simplify right side
    492,005.70x = 332,115,139,030.82
  5. Step 5: Solve for x
    x = 332,115,139,030.82/492,005.70
  6. Step 6: Final answer
    x = 675,022.95

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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.