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Finding the Fourth Proportional to 531,810.36, 733,902.98 and 290,094.01

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Solution

The fourth proportional to 531,810.36, 733,902.98 and 290,094.01 is: 400,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,810.36 : 733,902.98 = 290,094.01 : x
  2. Step 2: Convert to fraction form
    531,810.36/733,902.98 = 290,094.01/x
  3. Step 3: Cross multiply
    531,810.36x = 733,902.98 × 290,094.01
  4. Step 4: Simplify right side
    531,810.36x = 212,900,856,765.70
  5. Step 5: Solve for x
    x = 212,900,856,765.70/531,810.36
  6. Step 6: Final answer
    x = 400,332.29

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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.