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Finding the Fourth Proportional to 531,301.64, 733,189.82 and 289,583.47

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Solution

The fourth proportional to 531,301.64, 733,189.82 and 289,583.47 is: 399,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,301.64 : 733,189.82 = 289,583.47 : x
  2. Step 2: Convert to fraction form
    531,301.64/733,189.82 = 289,583.47/x
  3. Step 3: Cross multiply
    531,301.64x = 733,189.82 × 289,583.47
  4. Step 4: Simplify right side
    531,301.64x = 212,319,648,963.38
  5. Step 5: Solve for x
    x = 212,319,648,963.38/531,301.64
  6. Step 6: Final answer
    x = 399,621.67

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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.