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Finding the Fourth Proportional to 414,740.60, 622,110.90 and 282,030.20

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Solution

The fourth proportional to 414,740.60, 622,110.90 and 282,030.20 is: 423,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,740.60 : 622,110.90 = 282,030.20 : x
  2. Step 2: Convert to fraction form
    414,740.60/622,110.90 = 282,030.20/x
  3. Step 3: Cross multiply
    414,740.60x = 622,110.90 × 282,030.20
  4. Step 4: Simplify right side
    414,740.60x = 175,454,061,549.18
  5. Step 5: Solve for x
    x = 175,454,061,549.18/414,740.60
  6. Step 6: Final answer
    x = 423,045.30

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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.