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Finding the Fourth Proportional to 414,119.32, 621,192.88 and 114,574.84

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Solution

The fourth proportional to 414,119.32, 621,192.88 and 114,574.84 is: 171,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,119.32 : 621,192.88 = 114,574.84 : x
  2. Step 2: Convert to fraction form
    414,119.32/621,192.88 = 114,574.84/x
  3. Step 3: Cross multiply
    414,119.32x = 621,192.88 × 114,574.84
  4. Step 4: Simplify right side
    414,119.32x = 71,173,071,442.74
  5. Step 5: Solve for x
    x = 71,173,071,442.74/414,119.32
  6. Step 6: Final answer
    x = 171,866.10

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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.