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Finding the Fourth Proportional to 421,866.96, 633,237.84 and 282,598.80

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Solution

The fourth proportional to 421,866.96, 633,237.84 and 282,598.80 is: 424,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,866.96 : 633,237.84 = 282,598.80 : x
  2. Step 2: Convert to fraction form
    421,866.96/633,237.84 = 282,598.80/x
  3. Step 3: Cross multiply
    421,866.96x = 633,237.84 × 282,598.80
  4. Step 4: Simplify right side
    421,866.96x = 178,952,253,698.59
  5. Step 5: Solve for x
    x = 178,952,253,698.59/421,866.96
  6. Step 6: Final answer
    x = 424,191.20

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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.