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Finding the Fourth Proportional to 531,178.70, 733,026.64 and 289,461.20

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Solution

The fourth proportional to 531,178.70, 733,026.64 and 289,461.20 is: 399,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,178.70 : 733,026.64 = 289,461.20 : x
  2. Step 2: Convert to fraction form
    531,178.70/733,026.64 = 289,461.20/x
  3. Step 3: Cross multiply
    531,178.70x = 733,026.64 × 289,461.20
  4. Step 4: Simplify right side
    531,178.70x = 212,182,770,846.37
  5. Step 5: Solve for x
    x = 212,182,770,846.37/531,178.70
  6. Step 6: Final answer
    x = 399,456.47

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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.