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Finding the Fourth Proportional to 470,682.63, 706,060.40 and 282,425.67

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Solution

The fourth proportional to 470,682.63, 706,060.40 and 282,425.67 is: 423,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,682.63 : 706,060.40 = 282,425.67 : x
  2. Step 2: Convert to fraction form
    470,682.63/706,060.40 = 282,425.67/x
  3. Step 3: Cross multiply
    470,682.63x = 706,060.40 × 282,425.67
  4. Step 4: Simplify right side
    470,682.63x = 199,409,580,118.34
  5. Step 5: Solve for x
    x = 199,409,580,118.34/470,682.63
  6. Step 6: Final answer
    x = 423,660.38

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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.