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Finding the Fourth Proportional to 433,133.84, 649,264.61 and 180,554.18

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Solution

The fourth proportional to 433,133.84, 649,264.61 and 180,554.18 is: 270,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,133.84 : 649,264.61 = 180,554.18 : x
  2. Step 2: Convert to fraction form
    433,133.84/649,264.61 = 180,554.18/x
  3. Step 3: Cross multiply
    433,133.84x = 649,264.61 × 180,554.18
  4. Step 4: Simplify right side
    433,133.84x = 117,227,436,466.63
  5. Step 5: Solve for x
    x = 117,227,436,466.63/433,133.84
  6. Step 6: Final answer
    x = 270,649.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.