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Finding the Fourth Proportional to 521,085, 719,097.32 and 294,725.64

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Solution

The fourth proportional to 521,085, 719,097.32 and 294,725.64 is: 406,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,085 : 719,097.32 = 294,725.64 : x
  2. Step 2: Convert to fraction form
    521,085/719,097.32 = 294,725.64/x
  3. Step 3: Cross multiply
    521,085x = 719,097.32 × 294,725.64
  4. Step 4: Simplify right side
    521,085x = 211,936,417,859.29
  5. Step 5: Solve for x
    x = 211,936,417,859.29/521,085
  6. Step 6: Final answer
    x = 406,721.39

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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.