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Finding the Fourth Proportional to 507,945.63, 762,011.73 and 414,009.12

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Solution

The fourth proportional to 507,945.63, 762,011.73 and 414,009.12 is: 621,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,945.63 : 762,011.73 = 414,009.12 : x
  2. Step 2: Convert to fraction form
    507,945.63/762,011.73 = 414,009.12/x
  3. Step 3: Cross multiply
    507,945.63x = 762,011.73 × 414,009.12
  4. Step 4: Simplify right side
    507,945.63x = 315,479,805,766.98
  5. Step 5: Solve for x
    x = 315,479,805,766.98/507,945.63
  6. Step 6: Final answer
    x = 621,089.71

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1.5x scale

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.