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Finding the Fourth Proportional to 289,389.70, 433,501.35 and 164,584.90

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Solution

The fourth proportional to 289,389.70, 433,501.35 and 164,584.90 is: 246,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,389.70 : 433,501.35 = 164,584.90 : x
  2. Step 2: Convert to fraction form
    289,389.70/433,501.35 = 164,584.90/x
  3. Step 3: Cross multiply
    289,389.70x = 433,501.35 × 164,584.90
  4. Step 4: Simplify right side
    289,389.70x = 71,347,776,339.62
  5. Step 5: Solve for x
    x = 71,347,776,339.62/289,389.70
  6. Step 6: Final answer
    x = 246,545.67

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1.5x scale

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.