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Finding the Fourth Proportional to 362,303.96, 543,570.75 and 282,615.14

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Solution

The fourth proportional to 362,303.96, 543,570.75 and 282,615.14 is: 424,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,303.96 : 543,570.75 = 282,615.14 : x
  2. Step 2: Convert to fraction form
    362,303.96/543,570.75 = 282,615.14/x
  3. Step 3: Cross multiply
    362,303.96x = 543,570.75 × 282,615.14
  4. Step 4: Simplify right side
    362,303.96x = 153,621,324,970.08
  5. Step 5: Solve for x
    x = 153,621,324,970.08/362,303.96
  6. Step 6: Final answer
    x = 424,012.28

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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.