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Finding the Fourth Proportional to 470,332.74, 705,497.76 and 170,812.11

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Solution

The fourth proportional to 470,332.74, 705,497.76 and 170,812.11 is: 256,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,332.74 : 705,497.76 = 170,812.11 : x
  2. Step 2: Convert to fraction form
    470,332.74/705,497.76 = 170,812.11/x
  3. Step 3: Cross multiply
    470,332.74x = 705,497.76 × 170,812.11
  4. Step 4: Simplify right side
    470,332.74x = 120,507,560,985.87
  5. Step 5: Solve for x
    x = 120,507,560,985.87/470,332.74
  6. Step 6: Final answer
    x = 256,217.67

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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.