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Finding the Fourth Proportional to 469,817.60, 704,803.20 and 154,188.80

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Solution

The fourth proportional to 469,817.60, 704,803.20 and 154,188.80 is: 231,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,817.60 : 704,803.20 = 154,188.80 : x
  2. Step 2: Convert to fraction form
    469,817.60/704,803.20 = 154,188.80/x
  3. Step 3: Cross multiply
    469,817.60x = 704,803.20 × 154,188.80
  4. Step 4: Simplify right side
    469,817.60x = 108,672,759,644.16
  5. Step 5: Solve for x
    x = 108,672,759,644.16/469,817.60
  6. Step 6: Final answer
    x = 231,308.40

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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.