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Finding the Fourth Proportional to 354,430.52, 531,043.98 and 213,893.84

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Solution

The fourth proportional to 354,430.52, 531,043.98 and 213,893.84 is: 320,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,430.52 : 531,043.98 = 213,893.84 : x
  2. Step 2: Convert to fraction form
    354,430.52/531,043.98 = 213,893.84/x
  3. Step 3: Cross multiply
    354,430.52x = 531,043.98 × 213,893.84
  4. Step 4: Simplify right side
    354,430.52x = 113,587,036,091.08
  5. Step 5: Solve for x
    x = 113,587,036,091.08/354,430.52
  6. Step 6: Final answer
    x = 320,477.58

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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.