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Finding the Fourth Proportional to 235,534.60, 352,913.10 and 200,542.60

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Solution

The fourth proportional to 235,534.60, 352,913.10 and 200,542.60 is: 300,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,534.60 : 352,913.10 = 200,542.60 : x
  2. Step 2: Convert to fraction form
    235,534.60/352,913.10 = 200,542.60/x
  3. Step 3: Cross multiply
    235,534.60x = 352,913.10 × 200,542.60
  4. Step 4: Simplify right side
    235,534.60x = 70,774,110,648.06
  5. Step 5: Solve for x
    x = 70,774,110,648.06/235,534.60
  6. Step 6: Final answer
    x = 300,482.86

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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.