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Finding the Fourth Proportional to 471,004.73, 649,980.40 and 256,140.18

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Solution

The fourth proportional to 471,004.73, 649,980.40 and 256,140.18 is: 353,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,004.73 : 649,980.40 = 256,140.18 : x
  2. Step 2: Convert to fraction form
    471,004.73/649,980.40 = 256,140.18/x
  3. Step 3: Cross multiply
    471,004.73x = 649,980.40 × 256,140.18
  4. Step 4: Simplify right side
    471,004.73x = 166,486,095,371.77
  5. Step 5: Solve for x
    x = 166,486,095,371.77/471,004.73
  6. Step 6: Final answer
    x = 353,470.12

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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.