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Finding the Fourth Proportional to 521,592.64, 719,814.96 and 295,233.28

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Solution

The fourth proportional to 521,592.64, 719,814.96 and 295,233.28 is: 407,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,592.64 : 719,814.96 = 295,233.28 : x
  2. Step 2: Convert to fraction form
    521,592.64/719,814.96 = 295,233.28/x
  3. Step 3: Cross multiply
    521,592.64x = 719,814.96 × 295,233.28
  4. Step 4: Simplify right side
    521,592.64x = 212,513,331,633.87
  5. Step 5: Solve for x
    x = 212,513,331,633.87/521,592.64
  6. Step 6: Final answer
    x = 407,431.61

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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.