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Finding the Fourth Proportional to 430,643.20, 645,964.80 and 273,049.60

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Solution

The fourth proportional to 430,643.20, 645,964.80 and 273,049.60 is: 409,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,643.20 : 645,964.80 = 273,049.60 : x
  2. Step 2: Convert to fraction form
    430,643.20/645,964.80 = 273,049.60/x
  3. Step 3: Cross multiply
    430,643.20x = 645,964.80 × 273,049.60
  4. Step 4: Simplify right side
    430,643.20x = 176,380,430,254.08
  5. Step 5: Solve for x
    x = 176,380,430,254.08/430,643.20
  6. Step 6: Final answer
    x = 409,574.40

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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.