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Finding the Fourth Proportional to 470,369.40, 705,554.10 and 154,858.20

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Solution

The fourth proportional to 470,369.40, 705,554.10 and 154,858.20 is: 232,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,369.40 : 705,554.10 = 154,858.20 : x
  2. Step 2: Convert to fraction form
    470,369.40/705,554.10 = 154,858.20/x
  3. Step 3: Cross multiply
    470,369.40x = 705,554.10 × 154,858.20
  4. Step 4: Simplify right side
    470,369.40x = 109,260,837,928.62
  5. Step 5: Solve for x
    x = 109,260,837,928.62/470,369.40
  6. Step 6: Final answer
    x = 232,287.30

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Similar ratio
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1.5x scale

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.