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Finding the Fourth Proportional to 368,435.94, 508,438.01 and 205,089.86

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Solution

The fourth proportional to 368,435.94, 508,438.01 and 205,089.86 is: 283,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,435.94 : 508,438.01 = 205,089.86 : x
  2. Step 2: Convert to fraction form
    368,435.94/508,438.01 = 205,089.86/x
  3. Step 3: Cross multiply
    368,435.94x = 508,438.01 × 205,089.86
  4. Step 4: Simplify right side
    368,435.94x = 104,275,477,357.49
  5. Step 5: Solve for x
    x = 104,275,477,357.49/368,435.94
  6. Step 6: Final answer
    x = 283,022.00

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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.