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Finding the Fourth Proportional to 437,534.40, 614,414.40 and 437,534.40

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Solution

The fourth proportional to 437,534.40, 614,414.40 and 437,534.40 is: 614,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,534.40 : 614,414.40 = 437,534.40 : x
  2. Step 2: Convert to fraction form
    437,534.40/614,414.40 = 437,534.40/x
  3. Step 3: Cross multiply
    437,534.40x = 614,414.40 × 437,534.40
  4. Step 4: Simplify right side
    437,534.40x = 268,827,435,855.36
  5. Step 5: Solve for x
    x = 268,827,435,855.36/437,534.40
  6. Step 6: Final answer
    x = 614,414.40

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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.