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Finding the Fourth Proportional to 416,313.74, 574,526.87 and 255,137.65

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Solution

The fourth proportional to 416,313.74, 574,526.87 and 255,137.65 is: 352,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,313.74 : 574,526.87 = 255,137.65 : x
  2. Step 2: Convert to fraction form
    416,313.74/574,526.87 = 255,137.65/x
  3. Step 3: Cross multiply
    416,313.74x = 574,526.87 × 255,137.65
  4. Step 4: Simplify right side
    416,313.74x = 146,583,431,325.33
  5. Step 5: Solve for x
    x = 146,583,431,325.33/416,313.74
  6. Step 6: Final answer
    x = 352,098.47

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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.