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Finding the Fourth Proportional to 470,459.82, 705,467.36 and 182,406.26

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Solution

The fourth proportional to 470,459.82, 705,467.36 and 182,406.26 is: 273,523.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,459.82 : 705,467.36 = 182,406.26 : x
  2. Step 2: Convert to fraction form
    470,459.82/705,467.36 = 182,406.26/x
  3. Step 3: Cross multiply
    470,459.82x = 705,467.36 × 182,406.26
  4. Step 4: Simplify right side
    470,459.82x = 128,681,662,689.67
  5. Step 5: Solve for x
    x = 128,681,662,689.67/470,459.82
  6. Step 6: Final answer
    x = 273,523.17

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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.