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Finding the Fourth Proportional to 414,670.10, 622,005.15 and 190,030.10

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Solution

The fourth proportional to 414,670.10, 622,005.15 and 190,030.10 is: 285,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,670.10 : 622,005.15 = 190,030.10 : x
  2. Step 2: Convert to fraction form
    414,670.10/622,005.15 = 190,030.10/x
  3. Step 3: Cross multiply
    414,670.10x = 622,005.15 × 190,030.10
  4. Step 4: Simplify right side
    414,670.10x = 118,199,700,855.02
  5. Step 5: Solve for x
    x = 118,199,700,855.02/414,670.10
  6. Step 6: Final answer
    x = 285,045.15

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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.