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Finding the Fourth Proportional to 470,491.20, 705,736.80 and 154,958.40

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Solution

The fourth proportional to 470,491.20, 705,736.80 and 154,958.40 is: 232,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,491.20 : 705,736.80 = 154,958.40 : x
  2. Step 2: Convert to fraction form
    470,491.20/705,736.80 = 154,958.40/x
  3. Step 3: Cross multiply
    470,491.20x = 705,736.80 × 154,958.40
  4. Step 4: Simplify right side
    470,491.20x = 109,359,845,349.12
  5. Step 5: Solve for x
    x = 109,359,845,349.12/470,491.20
  6. Step 6: Final answer
    x = 232,437.60

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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.