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Finding the Fourth Proportional to 470,643.56, 649,543.38 and 279,657.08

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Solution

The fourth proportional to 470,643.56, 649,543.38 and 279,657.08 is: 385,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,643.56 : 649,543.38 = 279,657.08 : x
  2. Step 2: Convert to fraction form
    470,643.56/649,543.38 = 279,657.08/x
  3. Step 3: Cross multiply
    470,643.56x = 649,543.38 × 279,657.08
  4. Step 4: Simplify right side
    470,643.56x = 181,649,404,984.13
  5. Step 5: Solve for x
    x = 181,649,404,984.13/470,643.56
  6. Step 6: Final answer
    x = 385,959.61

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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.