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Finding the Fourth Proportional to 470,189.12, 704,592.08 and 277,865.60

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Solution

The fourth proportional to 470,189.12, 704,592.08 and 277,865.60 is: 416,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,189.12 : 704,592.08 = 277,865.60 : x
  2. Step 2: Convert to fraction form
    470,189.12/704,592.08 = 277,865.60/x
  3. Step 3: Cross multiply
    470,189.12x = 704,592.08 × 277,865.60
  4. Step 4: Simplify right side
    470,189.12x = 195,781,901,064.45
  5. Step 5: Solve for x
    x = 195,781,901,064.45/470,189.12
  6. Step 6: Final answer
    x = 416,389.69

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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.