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Finding the Fourth Proportional to 521,052.44, 719,187.56 and 294,829.16

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Solution

The fourth proportional to 521,052.44, 719,187.56 and 294,829.16 is: 406,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,052.44 : 719,187.56 = 294,829.16 : x
  2. Step 2: Convert to fraction form
    521,052.44/719,187.56 = 294,829.16/x
  3. Step 3: Cross multiply
    521,052.44x = 719,187.56 × 294,829.16
  4. Step 4: Simplify right side
    521,052.44x = 212,037,464,197.25
  5. Step 5: Solve for x
    x = 212,037,464,197.25/521,052.44
  6. Step 6: Final answer
    x = 406,940.74

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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.