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Finding the Fourth Proportional to 470,774.52, 649,673.02 and 255,914.93

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Solution

The fourth proportional to 470,774.52, 649,673.02 and 255,914.93 is: 353,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,774.52 : 649,673.02 = 255,914.93 : x
  2. Step 2: Convert to fraction form
    470,774.52/649,673.02 = 255,914.93/x
  3. Step 3: Cross multiply
    470,774.52x = 649,673.02 × 255,914.93
  4. Step 4: Simplify right side
    470,774.52x = 166,261,025,436.19
  5. Step 5: Solve for x
    x = 166,261,025,436.19/470,774.52
  6. Step 6: Final answer
    x = 353,164.88

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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.