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Finding the Fourth Proportional to 465,011.28, 695,704.02 and 407,629.65

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Solution

The fourth proportional to 465,011.28, 695,704.02 and 407,629.65 is: 609,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,011.28 : 695,704.02 = 407,629.65 : x
  2. Step 2: Convert to fraction form
    465,011.28/695,704.02 = 407,629.65/x
  3. Step 3: Cross multiply
    465,011.28x = 695,704.02 × 407,629.65
  4. Step 4: Simplify right side
    465,011.28x = 283,589,586,176.19
  5. Step 5: Solve for x
    x = 283,589,586,176.19/465,011.28
  6. Step 6: Final answer
    x = 609,855.28

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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.