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Finding the Fourth Proportional to 470,203.60, 705,233.40 and 154,661.20

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Solution

The fourth proportional to 470,203.60, 705,233.40 and 154,661.20 is: 231,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,203.60 : 705,233.40 = 154,661.20 : x
  2. Step 2: Convert to fraction form
    470,203.60/705,233.40 = 154,661.20/x
  3. Step 3: Cross multiply
    470,203.60x = 705,233.40 × 154,661.20
  4. Step 4: Simplify right side
    470,203.60x = 109,072,243,924.08
  5. Step 5: Solve for x
    x = 109,072,243,924.08/470,203.60
  6. Step 6: Final answer
    x = 231,968.12

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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.