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Finding the Fourth Proportional to 407,197.08, 610,500.30 and 273,746.28

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Solution

The fourth proportional to 407,197.08, 610,500.30 and 273,746.28 is: 410,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,197.08 : 610,500.30 = 273,746.28 : x
  2. Step 2: Convert to fraction form
    407,197.08/610,500.30 = 273,746.28/x
  3. Step 3: Cross multiply
    407,197.08x = 610,500.30 × 273,746.28
  4. Step 4: Simplify right side
    407,197.08x = 167,122,186,063.88
  5. Step 5: Solve for x
    x = 167,122,186,063.88/407,197.08
  6. Step 6: Final answer
    x = 410,420.89

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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.