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Finding the Fourth Proportional to 420,641.50, 630,963.60 and 105,098.44

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Solution

The fourth proportional to 420,641.50, 630,963.60 and 105,098.44 is: 157,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,641.50 : 630,963.60 = 105,098.44 : x
  2. Step 2: Convert to fraction form
    420,641.50/630,963.60 = 105,098.44/x
  3. Step 3: Cross multiply
    420,641.50x = 630,963.60 × 105,098.44
  4. Step 4: Simplify right side
    420,641.50x = 66,313,290,056.78
  5. Step 5: Solve for x
    x = 66,313,290,056.78/420,641.50
  6. Step 6: Final answer
    x = 157,648.00

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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.