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Finding the Fourth Proportional to 470,543.20, 705,814.80 and 115,552.60

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Solution

The fourth proportional to 470,543.20, 705,814.80 and 115,552.60 is: 173,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,543.20 : 705,814.80 = 115,552.60 : x
  2. Step 2: Convert to fraction form
    470,543.20/705,814.80 = 115,552.60/x
  3. Step 3: Cross multiply
    470,543.20x = 705,814.80 × 115,552.60
  4. Step 4: Simplify right side
    470,543.20x = 81,558,735,258.48
  5. Step 5: Solve for x
    x = 81,558,735,258.48/470,543.20
  6. Step 6: Final answer
    x = 173,328.90

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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.