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Finding the Fourth Proportional to 433,694.98, 650,602.98 and 197,097.22

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Solution

The fourth proportional to 433,694.98, 650,602.98 and 197,097.22 is: 295,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,694.98 : 650,602.98 = 197,097.22 : x
  2. Step 2: Convert to fraction form
    433,694.98/650,602.98 = 197,097.22/x
  3. Step 3: Cross multiply
    433,694.98x = 650,602.98 × 197,097.22
  4. Step 4: Simplify right side
    433,694.98x = 128,232,038,681.72
  5. Step 5: Solve for x
    x = 128,232,038,681.72/433,694.98
  6. Step 6: Final answer
    x = 295,673.33

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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.