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Finding the Fourth Proportional to 531,817.50, 733,912.80 and 290,101.14

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Solution

The fourth proportional to 531,817.50, 733,912.80 and 290,101.14 is: 400,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,817.50 : 733,912.80 = 290,101.14 : x
  2. Step 2: Convert to fraction form
    531,817.50/733,912.80 = 290,101.14/x
  3. Step 3: Cross multiply
    531,817.50x = 733,912.80 × 290,101.14
  4. Step 4: Simplify right side
    531,817.50x = 212,908,939,940.59
  5. Step 5: Solve for x
    x = 212,908,939,940.59/531,817.50
  6. Step 6: Final answer
    x = 400,342.11

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1.5x scale

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.