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Finding the Fourth Proportional to 334,803.22, 502,365.53 and 208,410.46

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Solution

The fourth proportional to 334,803.22, 502,365.53 and 208,410.46 is: 312,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,803.22 : 502,365.53 = 208,410.46 : x
  2. Step 2: Convert to fraction form
    334,803.22/502,365.53 = 208,410.46/x
  3. Step 3: Cross multiply
    334,803.22x = 502,365.53 × 208,410.46
  4. Step 4: Simplify right side
    334,803.22x = 104,698,231,195.44
  5. Step 5: Solve for x
    x = 104,698,231,195.44/334,803.22
  6. Step 6: Final answer
    x = 312,715.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.