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Finding the Fourth Proportional to 470,035.08, 704,918.70 and 133,053.64

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Solution

The fourth proportional to 470,035.08, 704,918.70 and 133,053.64 is: 199,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,035.08 : 704,918.70 = 133,053.64 : x
  2. Step 2: Convert to fraction form
    470,035.08/704,918.70 = 133,053.64/x
  3. Step 3: Cross multiply
    470,035.08x = 704,918.70 × 133,053.64
  4. Step 4: Simplify right side
    470,035.08x = 93,791,998,939.07
  5. Step 5: Solve for x
    x = 93,791,998,939.07/470,035.08
  6. Step 6: Final answer
    x = 199,542.55

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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.