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Finding the Fourth Proportional to 353,530.80, 530,296.20 and 314,823.60

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Solution

The fourth proportional to 353,530.80, 530,296.20 and 314,823.60 is: 472,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,530.80 : 530,296.20 = 314,823.60 : x
  2. Step 2: Convert to fraction form
    353,530.80/530,296.20 = 314,823.60/x
  3. Step 3: Cross multiply
    353,530.80x = 530,296.20 × 314,823.60
  4. Step 4: Simplify right side
    353,530.80x = 166,949,758,750.32
  5. Step 5: Solve for x
    x = 166,949,758,750.32/353,530.80
  6. Step 6: Final answer
    x = 472,235.40

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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.