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Finding the Fourth Proportional to 344,881.42, 475,977.80 and 208,911.38

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Solution

The fourth proportional to 344,881.42, 475,977.80 and 208,911.38 is: 288,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,881.42 : 475,977.80 = 208,911.38 : x
  2. Step 2: Convert to fraction form
    344,881.42/475,977.80 = 208,911.38/x
  3. Step 3: Cross multiply
    344,881.42x = 475,977.80 × 208,911.38
  4. Step 4: Simplify right side
    344,881.42x = 99,437,179,047.36
  5. Step 5: Solve for x
    x = 99,437,179,047.36/344,881.42
  6. Step 6: Final answer
    x = 288,322.81

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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.