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Finding the Fourth Proportional to 470,712.44, 705,654.75 and 186,602.57

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Solution

The fourth proportional to 470,712.44, 705,654.75 and 186,602.57 is: 279,739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,712.44 : 705,654.75 = 186,602.57 : x
  2. Step 2: Convert to fraction form
    470,712.44/705,654.75 = 186,602.57/x
  3. Step 3: Cross multiply
    470,712.44x = 705,654.75 × 186,602.57
  4. Step 4: Simplify right side
    470,712.44x = 131,676,985,421.42
  5. Step 5: Solve for x
    x = 131,676,985,421.42/470,712.44
  6. Step 6: Final answer
    x = 279,739.76

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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.