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Finding the Fourth Proportional to 433,491.84, 650,172.12 and 117,973.32

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Solution

The fourth proportional to 433,491.84, 650,172.12 and 117,973.32 is: 176,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,491.84 : 650,172.12 = 117,973.32 : x
  2. Step 2: Convert to fraction form
    433,491.84/650,172.12 = 117,973.32/x
  3. Step 3: Cross multiply
    433,491.84x = 650,172.12 × 117,973.32
  4. Step 4: Simplify right side
    433,491.84x = 76,702,963,567.84
  5. Step 5: Solve for x
    x = 76,702,963,567.84/433,491.84
  6. Step 6: Final answer
    x = 176,942.12

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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.