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Finding the Fourth Proportional to 420,215.20, 630,409.20 and 139,933.60

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Solution

The fourth proportional to 420,215.20, 630,409.20 and 139,933.60 is: 209,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,215.20 : 630,409.20 = 139,933.60 : x
  2. Step 2: Convert to fraction form
    420,215.20/630,409.20 = 139,933.60/x
  3. Step 3: Cross multiply
    420,215.20x = 630,409.20 × 139,933.60
  4. Step 4: Simplify right side
    420,215.20x = 88,215,428,829.12
  5. Step 5: Solve for x
    x = 88,215,428,829.12/420,215.20
  6. Step 6: Final answer
    x = 209,929.17

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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.