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Finding the Fourth Proportional to 531,988.85, 734,140.84 and 302,546.22

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Solution

The fourth proportional to 531,988.85, 734,140.84 and 302,546.22 is: 417,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,988.85 : 734,140.84 = 302,546.22 : x
  2. Step 2: Convert to fraction form
    531,988.85/734,140.84 = 302,546.22/x
  3. Step 3: Cross multiply
    531,988.85x = 734,140.84 × 302,546.22
  4. Step 4: Simplify right side
    531,988.85x = 222,111,536,089.63
  5. Step 5: Solve for x
    x = 222,111,536,089.63/531,988.85
  6. Step 6: Final answer
    x = 417,511.64

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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.