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Finding the Fourth Proportional to 531,516.04, 733,497.86 and 289,796.64

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Solution

The fourth proportional to 531,516.04, 733,497.86 and 289,796.64 is: 399,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,516.04 : 733,497.86 = 289,796.64 : x
  2. Step 2: Convert to fraction form
    531,516.04/733,497.86 = 289,796.64/x
  3. Step 3: Cross multiply
    531,516.04x = 733,497.86 × 289,796.64
  4. Step 4: Simplify right side
    531,516.04x = 212,565,215,275.19
  5. Step 5: Solve for x
    x = 212,565,215,275.19/531,516.04
  6. Step 6: Final answer
    x = 399,922.48

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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.