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Finding the Fourth Proportional to 469,390.33, 704,322.42 and 185,284.45

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Solution

The fourth proportional to 469,390.33, 704,322.42 and 185,284.45 is: 278,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,390.33 : 704,322.42 = 185,284.45 : x
  2. Step 2: Convert to fraction form
    469,390.33/704,322.42 = 185,284.45/x
  3. Step 3: Cross multiply
    469,390.33x = 704,322.42 × 185,284.45
  4. Step 4: Simplify right side
    469,390.33x = 130,499,992,212.37
  5. Step 5: Solve for x
    x = 130,499,992,212.37/469,390.33
  6. Step 6: Final answer
    x = 278,020.20

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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.