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Finding the Fourth Proportional to 414,658.40, 622,643.70 and 314,931.20

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Solution

The fourth proportional to 414,658.40, 622,643.70 and 314,931.20 is: 472,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,658.40 : 622,643.70 = 314,931.20 : x
  2. Step 2: Convert to fraction form
    414,658.40/622,643.70 = 314,931.20/x
  3. Step 3: Cross multiply
    414,658.40x = 622,643.70 × 314,931.20
  4. Step 4: Simplify right side
    414,658.40x = 196,089,927,613.44
  5. Step 5: Solve for x
    x = 196,089,927,613.44/414,658.40
  6. Step 6: Final answer
    x = 472,895.11

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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.