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Finding the Fourth Proportional to 334,526.85, 461,437.06 and 198,464.47

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Solution

The fourth proportional to 334,526.85, 461,437.06 and 198,464.47 is: 273,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,526.85 : 461,437.06 = 198,464.47 : x
  2. Step 2: Convert to fraction form
    334,526.85/461,437.06 = 198,464.47/x
  3. Step 3: Cross multiply
    334,526.85x = 461,437.06 × 198,464.47
  4. Step 4: Simplify right side
    334,526.85x = 91,578,861,551.26
  5. Step 5: Solve for x
    x = 91,578,861,551.26/334,526.85
  6. Step 6: Final answer
    x = 273,756.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.