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Finding the Fourth Proportional to 470,538.54, 705,810.18 and 115,552.68

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Solution

The fourth proportional to 470,538.54, 705,810.18 and 115,552.68 is: 173,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,538.54 : 705,810.18 = 115,552.68 : x
  2. Step 2: Convert to fraction form
    470,538.54/705,810.18 = 115,552.68/x
  3. Step 3: Cross multiply
    470,538.54x = 705,810.18 × 115,552.68
  4. Step 4: Simplify right side
    470,538.54x = 81,558,257,870.28
  5. Step 5: Solve for x
    x = 81,558,257,870.28/470,538.54
  6. Step 6: Final answer
    x = 173,329.60

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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.