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Finding the Fourth Proportional to 469,885.60, 704,828.40 and 154,266.40

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Solution

The fourth proportional to 469,885.60, 704,828.40 and 154,266.40 is: 231,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,885.60 : 704,828.40 = 154,266.40 : x
  2. Step 2: Convert to fraction form
    469,885.60/704,828.40 = 154,266.40/x
  3. Step 3: Cross multiply
    469,885.60x = 704,828.40 × 154,266.40
  4. Step 4: Simplify right side
    469,885.60x = 108,731,339,885.76
  5. Step 5: Solve for x
    x = 108,731,339,885.76/469,885.60
  6. Step 6: Final answer
    x = 231,399.60

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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.