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Finding the Fourth Proportional to 470,814.75, 649,696.77 and 255,952.93

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Solution

The fourth proportional to 470,814.75, 649,696.77 and 255,952.93 is: 353,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,814.75 : 649,696.77 = 255,952.93 : x
  2. Step 2: Convert to fraction form
    470,814.75/649,696.77 = 255,952.93/x
  3. Step 3: Cross multiply
    470,814.75x = 649,696.77 × 255,952.93
  4. Step 4: Simplify right side
    470,814.75x = 166,291,791,893.04
  5. Step 5: Solve for x
    x = 166,291,791,893.04/470,814.75
  6. Step 6: Final answer
    x = 353,200.05

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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.