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Finding the Fourth Proportional to 470,656.17, 706,068.90 and 171,556.38

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Solution

The fourth proportional to 470,656.17, 706,068.90 and 171,556.38 is: 257,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,656.17 : 706,068.90 = 171,556.38 : x
  2. Step 2: Convert to fraction form
    470,656.17/706,068.90 = 171,556.38/x
  3. Step 3: Cross multiply
    470,656.17x = 706,068.90 × 171,556.38
  4. Step 4: Simplify right side
    470,656.17x = 121,130,624,514.58
  5. Step 5: Solve for x
    x = 121,130,624,514.58/470,656.17
  6. Step 6: Final answer
    x = 257,365.42

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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.