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Finding the Fourth Proportional to 362,512.40, 542,693.40 and 269,430.80

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Solution

The fourth proportional to 362,512.40, 542,693.40 and 269,430.80 is: 403,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,512.40 : 542,693.40 = 269,430.80 : x
  2. Step 2: Convert to fraction form
    362,512.40/542,693.40 = 269,430.80/x
  3. Step 3: Cross multiply
    362,512.40x = 542,693.40 × 269,430.80
  4. Step 4: Simplify right side
    362,512.40x = 146,218,316,916.72
  5. Step 5: Solve for x
    x = 146,218,316,916.72/362,512.40
  6. Step 6: Final answer
    x = 403,347.08

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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.