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Finding the Fourth Proportional to 469,585.72, 704,352.66 and 343,355.32

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Solution

The fourth proportional to 469,585.72, 704,352.66 and 343,355.32 is: 515,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,585.72 : 704,352.66 = 343,355.32 : x
  2. Step 2: Convert to fraction form
    469,585.72/704,352.66 = 343,355.32/x
  3. Step 3: Cross multiply
    469,585.72x = 704,352.66 × 343,355.32
  4. Step 4: Simplify right side
    469,585.72x = 241,843,232,967.15
  5. Step 5: Solve for x
    x = 241,843,232,967.15/469,585.72
  6. Step 6: Final answer
    x = 515,014.03

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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.