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Finding the Fourth Proportional to 470,210.47, 705,400.45 and 171,110.88

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Solution

The fourth proportional to 470,210.47, 705,400.45 and 171,110.88 is: 256,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,210.47 : 705,400.45 = 171,110.88 : x
  2. Step 2: Convert to fraction form
    470,210.47/705,400.45 = 171,110.88/x
  3. Step 3: Cross multiply
    470,210.47x = 705,400.45 × 171,110.88
  4. Step 4: Simplify right side
    470,210.47x = 120,701,691,324.12
  5. Step 5: Solve for x
    x = 120,701,691,324.12/470,210.47
  6. Step 6: Final answer
    x = 256,697.16

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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.