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Finding the Fourth Proportional to 469,345.20, 704,023.56 and 310,438.32

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Solution

The fourth proportional to 469,345.20, 704,023.56 and 310,438.32 is: 465,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,345.20 : 704,023.56 = 310,438.32 : x
  2. Step 2: Convert to fraction form
    469,345.20/704,023.56 = 310,438.32/x
  3. Step 3: Cross multiply
    469,345.20x = 704,023.56 × 310,438.32
  4. Step 4: Simplify right side
    469,345.20x = 218,555,891,206.82
  5. Step 5: Solve for x
    x = 218,555,891,206.82/469,345.20
  6. Step 6: Final answer
    x = 465,661.29

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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.