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Finding the Fourth Proportional to 410,464.80, 614,530.80 and 368,474.40

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Solution

The fourth proportional to 410,464.80, 614,530.80 and 368,474.40 is: 551,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,464.80 : 614,530.80 = 368,474.40 : x
  2. Step 2: Convert to fraction form
    410,464.80/614,530.80 = 368,474.40/x
  3. Step 3: Cross multiply
    410,464.80x = 614,530.80 × 368,474.40
  4. Step 4: Simplify right side
    410,464.80x = 226,438,867,811.52
  5. Step 5: Solve for x
    x = 226,438,867,811.52/410,464.80
  6. Step 6: Final answer
    x = 551,664.52

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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.