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Finding the Fourth Proportional to 438,428.80, 614,422.40 and 438,428.80

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Solution

The fourth proportional to 438,428.80, 614,422.40 and 438,428.80 is: 614,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,428.80 : 614,422.40 = 438,428.80 : x
  2. Step 2: Convert to fraction form
    438,428.80/614,422.40 = 438,428.80/x
  3. Step 3: Cross multiply
    438,428.80x = 614,422.40 × 438,428.80
  4. Step 4: Simplify right side
    438,428.80x = 269,380,475,525.12
  5. Step 5: Solve for x
    x = 269,380,475,525.12/438,428.80
  6. Step 6: Final answer
    x = 614,422.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.