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Finding the Fourth Proportional to 419,298.56, 578,566.88 and 240,416

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Solution

The fourth proportional to 419,298.56, 578,566.88 and 240,416 is: 331,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,298.56 : 578,566.88 = 240,416 : x
  2. Step 2: Convert to fraction form
    419,298.56/578,566.88 = 240,416/x
  3. Step 3: Cross multiply
    419,298.56x = 578,566.88 × 240,416
  4. Step 4: Simplify right side
    419,298.56x = 139,096,735,022.08
  5. Step 5: Solve for x
    x = 139,096,735,022.08/419,298.56
  6. Step 6: Final answer
    x = 331,736.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.