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Finding the Fourth Proportional to 470,838.56, 649,728.10 and 264,095.57

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Solution

The fourth proportional to 470,838.56, 649,728.10 and 264,095.57 is: 364,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,838.56 : 649,728.10 = 264,095.57 : x
  2. Step 2: Convert to fraction form
    470,838.56/649,728.10 = 264,095.57/x
  3. Step 3: Cross multiply
    470,838.56x = 649,728.10 × 264,095.57
  4. Step 4: Simplify right side
    470,838.56x = 171,590,312,914.52
  5. Step 5: Solve for x
    x = 171,590,312,914.52/470,838.56
  6. Step 6: Final answer
    x = 364,435.56

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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.