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Finding the Fourth Proportional to 389,364.50, 537,323.04 and 210,516.50

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Solution

The fourth proportional to 389,364.50, 537,323.04 and 210,516.50 is: 290,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,364.50 : 537,323.04 = 210,516.50 : x
  2. Step 2: Convert to fraction form
    389,364.50/537,323.04 = 210,516.50/x
  3. Step 3: Cross multiply
    389,364.50x = 537,323.04 × 210,516.50
  4. Step 4: Simplify right side
    389,364.50x = 113,115,365,750.16
  5. Step 5: Solve for x
    x = 113,115,365,750.16/389,364.50
  6. Step 6: Final answer
    x = 290,512.79

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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.