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Finding the Fourth Proportional to 470,760.60, 705,104.10 and 408,552.60

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Solution

The fourth proportional to 470,760.60, 705,104.10 and 408,552.60 is: 611,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,760.60 : 705,104.10 = 408,552.60 : x
  2. Step 2: Convert to fraction form
    470,760.60/705,104.10 = 408,552.60/x
  3. Step 3: Cross multiply
    470,760.60x = 705,104.10 × 408,552.60
  4. Step 4: Simplify right side
    470,760.60x = 288,072,113,325.66
  5. Step 5: Solve for x
    x = 288,072,113,325.66/470,760.60
  6. Step 6: Final answer
    x = 611,929.11

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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.