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Finding the Fourth Proportional to 362,016.10, 542,302.44 and 282,759.22

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Solution

The fourth proportional to 362,016.10, 542,302.44 and 282,759.22 is: 423,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,016.10 : 542,302.44 = 282,759.22 : x
  2. Step 2: Convert to fraction form
    362,016.10/542,302.44 = 282,759.22/x
  3. Step 3: Cross multiply
    362,016.10x = 542,302.44 × 282,759.22
  4. Step 4: Simplify right side
    362,016.10x = 153,341,014,938.50
  5. Step 5: Solve for x
    x = 153,341,014,938.50/362,016.10
  6. Step 6: Final answer
    x = 423,575.13

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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.