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Finding the Fourth Proportional to 469,993.41, 704,965.28 and 290,112.93

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Solution

The fourth proportional to 469,993.41, 704,965.28 and 290,112.93 is: 435,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,993.41 : 704,965.28 = 290,112.93 : x
  2. Step 2: Convert to fraction form
    469,993.41/704,965.28 = 290,112.93/x
  3. Step 3: Cross multiply
    469,993.41x = 704,965.28 × 290,112.93
  4. Step 4: Simplify right side
    469,993.41x = 204,519,541,478.51
  5. Step 5: Solve for x
    x = 204,519,541,478.51/469,993.41
  6. Step 6: Final answer
    x = 435,154.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.