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Finding the Fourth Proportional to 521,517.24, 719,570.44 and 295,162.74

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Solution

The fourth proportional to 521,517.24, 719,570.44 and 295,162.74 is: 407,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,517.24 : 719,570.44 = 295,162.74 : x
  2. Step 2: Convert to fraction form
    521,517.24/719,570.44 = 295,162.74/x
  3. Step 3: Cross multiply
    521,517.24x = 719,570.44 × 295,162.74
  4. Step 4: Simplify right side
    521,517.24x = 212,390,382,693.41
  5. Step 5: Solve for x
    x = 212,390,382,693.41/521,517.24
  6. Step 6: Final answer
    x = 407,254.77

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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.