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Finding the Fourth Proportional to 470,968.18, 649,953.18 and 269,803.06

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Solution

The fourth proportional to 470,968.18, 649,953.18 and 269,803.06 is: 372,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,968.18 : 649,953.18 = 269,803.06 : x
  2. Step 2: Convert to fraction form
    470,968.18/649,953.18 = 269,803.06/x
  3. Step 3: Cross multiply
    470,968.18x = 649,953.18 × 269,803.06
  4. Step 4: Simplify right side
    470,968.18x = 175,359,356,820.73
  5. Step 5: Solve for x
    x = 175,359,356,820.73/470,968.18
  6. Step 6: Final answer
    x = 372,338.01

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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.