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Finding the Fourth Proportional to 470,920.81, 706,314.67 and 151,031.10

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Solution

The fourth proportional to 470,920.81, 706,314.67 and 151,031.10 is: 226,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,920.81 : 706,314.67 = 151,031.10 : x
  2. Step 2: Convert to fraction form
    470,920.81/706,314.67 = 151,031.10/x
  3. Step 3: Cross multiply
    470,920.81x = 706,314.67 × 151,031.10
  4. Step 4: Simplify right side
    470,920.81x = 106,675,481,950.49
  5. Step 5: Solve for x
    x = 106,675,481,950.49/470,920.81
  6. Step 6: Final answer
    x = 226,525.31

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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.