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Finding the Fourth Proportional to 469,436.44, 704,125.47 and 149,580.40

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Solution

The fourth proportional to 469,436.44, 704,125.47 and 149,580.40 is: 224,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,436.44 : 704,125.47 = 149,580.40 : x
  2. Step 2: Convert to fraction form
    469,436.44/704,125.47 = 149,580.40/x
  3. Step 3: Cross multiply
    469,436.44x = 704,125.47 × 149,580.40
  4. Step 4: Simplify right side
    469,436.44x = 105,323,369,452.79
  5. Step 5: Solve for x
    x = 105,323,369,452.79/469,436.44
  6. Step 6: Final answer
    x = 224,361.30

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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.