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Finding the Fourth Proportional to 532,309.40, 798,464.10 and 343,352.60

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Solution

The fourth proportional to 532,309.40, 798,464.10 and 343,352.60 is: 515,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,309.40 : 798,464.10 = 343,352.60 : x
  2. Step 2: Convert to fraction form
    532,309.40/798,464.10 = 343,352.60/x
  3. Step 3: Cross multiply
    532,309.40x = 798,464.10 × 343,352.60
  4. Step 4: Simplify right side
    532,309.40x = 274,154,724,741.66
  5. Step 5: Solve for x
    x = 274,154,724,741.66/532,309.40
  6. Step 6: Final answer
    x = 515,028.90

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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.