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Finding the Fourth Proportional to 292,285.20, 438,427.80 and 197,806.80

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Solution

The fourth proportional to 292,285.20, 438,427.80 and 197,806.80 is: 296,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,285.20 : 438,427.80 = 197,806.80 : x
  2. Step 2: Convert to fraction form
    292,285.20/438,427.80 = 197,806.80/x
  3. Step 3: Cross multiply
    292,285.20x = 438,427.80 × 197,806.80
  4. Step 4: Simplify right side
    292,285.20x = 86,724,000,149.04
  5. Step 5: Solve for x
    x = 86,724,000,149.04/292,285.20
  6. Step 6: Final answer
    x = 296,710.20

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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.