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Finding the Fourth Proportional to 531,184.34, 733,015.76 and 289,461.98

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Solution

The fourth proportional to 531,184.34, 733,015.76 and 289,461.98 is: 399,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,184.34 : 733,015.76 = 289,461.98 : x
  2. Step 2: Convert to fraction form
    531,184.34/733,015.76 = 289,461.98/x
  3. Step 3: Cross multiply
    531,184.34x = 733,015.76 × 289,461.98
  4. Step 4: Simplify right side
    531,184.34x = 212,180,193,260.81
  5. Step 5: Solve for x
    x = 212,180,193,260.81/531,184.34
  6. Step 6: Final answer
    x = 399,447.38

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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.