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Finding the Fourth Proportional to 470,267.58, 706,500.54 and 444,778.11

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Solution

The fourth proportional to 470,267.58, 706,500.54 and 444,778.11 is: 668,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,267.58 : 706,500.54 = 444,778.11 : x
  2. Step 2: Convert to fraction form
    470,267.58/706,500.54 = 444,778.11/x
  3. Step 3: Cross multiply
    470,267.58x = 706,500.54 × 444,778.11
  4. Step 4: Simplify right side
    470,267.58x = 314,235,974,895.18
  5. Step 5: Solve for x
    x = 314,235,974,895.18/470,267.58
  6. Step 6: Final answer
    x = 668,206.76

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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.