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Finding the Fourth Proportional to 538,501.66, 743,119.48 and 293,494.15

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Solution

The fourth proportional to 538,501.66, 743,119.48 and 293,494.15 is: 405,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,501.66 : 743,119.48 = 293,494.15 : x
  2. Step 2: Convert to fraction form
    538,501.66/743,119.48 = 293,494.15/x
  3. Step 3: Cross multiply
    538,501.66x = 743,119.48 × 293,494.15
  4. Step 4: Simplify right side
    538,501.66x = 218,101,221,426.81
  5. Step 5: Solve for x
    x = 218,101,221,426.81/538,501.66
  6. Step 6: Final answer
    x = 405,014.95

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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.