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Finding the Fourth Proportional to 531,131.10, 732,951.42 and 289,415.76

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Solution

The fourth proportional to 531,131.10, 732,951.42 and 289,415.76 is: 399,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,131.10 : 732,951.42 = 289,415.76 : x
  2. Step 2: Convert to fraction form
    531,131.10/732,951.42 = 289,415.76/x
  3. Step 3: Cross multiply
    531,131.10x = 732,951.42 × 289,415.76
  4. Step 4: Simplify right side
    531,131.10x = 212,127,692,262.38
  5. Step 5: Solve for x
    x = 212,127,692,262.38/531,131.10
  6. Step 6: Final answer
    x = 399,388.57

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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.