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Finding the Fourth Proportional to 395,032.69, 545,141.24 and 213,740.64

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Solution

The fourth proportional to 395,032.69, 545,141.24 and 213,740.64 is: 294,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,032.69 : 545,141.24 = 213,740.64 : x
  2. Step 2: Convert to fraction form
    395,032.69/545,141.24 = 213,740.64/x
  3. Step 3: Cross multiply
    395,032.69x = 545,141.24 × 213,740.64
  4. Step 4: Simplify right side
    395,032.69x = 116,518,837,527.99
  5. Step 5: Solve for x
    x = 116,518,837,527.99/395,032.69
  6. Step 6: Final answer
    x = 294,959.99

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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.