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Finding the Fourth Proportional to 414,537.60, 621,806.40 and 315,004.80

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Solution

The fourth proportional to 414,537.60, 621,806.40 and 315,004.80 is: 472,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,537.60 : 621,806.40 = 315,004.80 : x
  2. Step 2: Convert to fraction form
    414,537.60/621,806.40 = 315,004.80/x
  3. Step 3: Cross multiply
    414,537.60x = 621,806.40 × 315,004.80
  4. Step 4: Simplify right side
    414,537.60x = 195,872,000,670.72
  5. Step 5: Solve for x
    x = 195,872,000,670.72/414,537.60
  6. Step 6: Final answer
    x = 472,507.20

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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.