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Finding the Fourth Proportional to 470,597.12, 649,423.46 and 255,736.70

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Solution

The fourth proportional to 470,597.12, 649,423.46 and 255,736.70 is: 352,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,597.12 : 649,423.46 = 255,736.70 : x
  2. Step 2: Convert to fraction form
    470,597.12/649,423.46 = 255,736.70/x
  3. Step 3: Cross multiply
    470,597.12x = 649,423.46 × 255,736.70
  4. Step 4: Simplify right side
    470,597.12x = 166,081,409,955.21
  5. Step 5: Solve for x
    x = 166,081,409,955.21/470,597.12
  6. Step 6: Final answer
    x = 352,916.34

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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.