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Finding the Fourth Proportional to 430,548.32, 645,472.56 and 150,262.40

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Solution

The fourth proportional to 430,548.32, 645,472.56 and 150,262.40 is: 225,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,548.32 : 645,472.56 = 150,262.40 : x
  2. Step 2: Convert to fraction form
    430,548.32/645,472.56 = 150,262.40/x
  3. Step 3: Cross multiply
    430,548.32x = 645,472.56 × 150,262.40
  4. Step 4: Simplify right side
    430,548.32x = 96,990,255,999.74
  5. Step 5: Solve for x
    x = 96,990,255,999.74/430,548.32
  6. Step 6: Final answer
    x = 225,271.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.