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Finding the Fourth Proportional to 433,681.98, 650,583.45 and 197,084.22

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Solution

The fourth proportional to 433,681.98, 650,583.45 and 197,084.22 is: 295,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,681.98 : 650,583.45 = 197,084.22 : x
  2. Step 2: Convert to fraction form
    433,681.98/650,583.45 = 197,084.22/x
  3. Step 3: Cross multiply
    433,681.98x = 650,583.45 × 197,084.22
  4. Step 4: Simplify right side
    433,681.98x = 128,219,731,788.16
  5. Step 5: Solve for x
    x = 128,219,731,788.16/433,681.98
  6. Step 6: Final answer
    x = 295,653.81

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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.