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Finding the Fourth Proportional to 420,642, 630,964.35 and 105,098.94

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Solution

The fourth proportional to 420,642, 630,964.35 and 105,098.94 is: 157,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,642 : 630,964.35 = 105,098.94 : x
  2. Step 2: Convert to fraction form
    420,642/630,964.35 = 105,098.94/x
  3. Step 3: Cross multiply
    420,642x = 630,964.35 × 105,098.94
  4. Step 4: Simplify right side
    420,642x = 66,313,684,362.79
  5. Step 5: Solve for x
    x = 66,313,684,362.79/420,642
  6. Step 6: Final answer
    x = 157,648.75

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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.