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Finding the Fourth Proportional to 420,010.40, 630,015.60 and 120,464.30

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Solution

The fourth proportional to 420,010.40, 630,015.60 and 120,464.30 is: 180,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,010.40 : 630,015.60 = 120,464.30 : x
  2. Step 2: Convert to fraction form
    420,010.40/630,015.60 = 120,464.30/x
  3. Step 3: Cross multiply
    420,010.40x = 630,015.60 × 120,464.30
  4. Step 4: Simplify right side
    420,010.40x = 75,894,388,243.08
  5. Step 5: Solve for x
    x = 75,894,388,243.08/420,010.40
  6. Step 6: Final answer
    x = 180,696.45

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1.5x scale

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.