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Finding the Fourth Proportional to 470,167.20, 705,364.20 and 154,607.40

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Solution

The fourth proportional to 470,167.20, 705,364.20 and 154,607.40 is: 231,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,167.20 : 705,364.20 = 154,607.40 : x
  2. Step 2: Convert to fraction form
    470,167.20/705,364.20 = 154,607.40/x
  3. Step 3: Cross multiply
    470,167.20x = 705,364.20 × 154,607.40
  4. Step 4: Simplify right side
    470,167.20x = 109,054,525,015.08
  5. Step 5: Solve for x
    x = 109,054,525,015.08/470,167.20
  6. Step 6: Final answer
    x = 231,948.39

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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.