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Finding the Fourth Proportional to 521,035, 719,028.30 and 294,675.64

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Solution

The fourth proportional to 521,035, 719,028.30 and 294,675.64 is: 406,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,035 : 719,028.30 = 294,675.64 : x
  2. Step 2: Convert to fraction form
    521,035/719,028.30 = 294,675.64/x
  3. Step 3: Cross multiply
    521,035x = 719,028.30 × 294,675.64
  4. Step 4: Simplify right side
    521,035x = 211,880,124,480.61
  5. Step 5: Solve for x
    x = 211,880,124,480.61/521,035
  6. Step 6: Final answer
    x = 406,652.38

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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.