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Finding the Fourth Proportional to 353,536.80, 530,305.20 and 314,829.60

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Solution

The fourth proportional to 353,536.80, 530,305.20 and 314,829.60 is: 472,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,536.80 : 530,305.20 = 314,829.60 : x
  2. Step 2: Convert to fraction form
    353,536.80/530,305.20 = 314,829.60/x
  3. Step 3: Cross multiply
    353,536.80x = 530,305.20 × 314,829.60
  4. Step 4: Simplify right side
    353,536.80x = 166,955,773,993.92
  5. Step 5: Solve for x
    x = 166,955,773,993.92/353,536.80
  6. Step 6: Final answer
    x = 472,244.40

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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.