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Finding the Fourth Proportional to 408,064.95, 612,097.43 and 408,064.95

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Solution

The fourth proportional to 408,064.95, 612,097.43 and 408,064.95 is: 612,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,064.95 : 612,097.43 = 408,064.95 : x
  2. Step 2: Convert to fraction form
    408,064.95/612,097.43 = 408,064.95/x
  3. Step 3: Cross multiply
    408,064.95x = 612,097.43 × 408,064.95
  4. Step 4: Simplify right side
    408,064.95x = 249,775,505,127.75
  5. Step 5: Solve for x
    x = 249,775,505,127.75/408,064.95
  6. Step 6: Final answer
    x = 612,097.43

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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.