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Finding the Fourth Proportional to 470,656.24, 649,509.87 and 255,796.81

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Solution

The fourth proportional to 470,656.24, 649,509.87 and 255,796.81 is: 353,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,656.24 : 649,509.87 = 255,796.81 : x
  2. Step 2: Convert to fraction form
    470,656.24/649,509.87 = 255,796.81/x
  3. Step 3: Cross multiply
    470,656.24x = 649,509.87 × 255,796.81
  4. Step 4: Simplify right side
    470,656.24x = 166,142,552,809.52
  5. Step 5: Solve for x
    x = 166,142,552,809.52/470,656.24
  6. Step 6: Final answer
    x = 353,001.91

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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.