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Finding the Fourth Proportional to 470,598.37, 649,425.19 and 255,737.95

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Solution

The fourth proportional to 470,598.37, 649,425.19 and 255,737.95 is: 352,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,598.37 : 649,425.19 = 255,737.95 : x
  2. Step 2: Convert to fraction form
    470,598.37/649,425.19 = 255,737.95/x
  3. Step 3: Cross multiply
    470,598.37x = 649,425.19 × 255,737.95
  4. Step 4: Simplify right side
    470,598.37x = 166,082,662,243.15
  5. Step 5: Solve for x
    x = 166,082,662,243.15/470,598.37
  6. Step 6: Final answer
    x = 352,918.06

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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.