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Finding the Fourth Proportional to 307,859.70, 461,011.95 and 202,106.10

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Solution

The fourth proportional to 307,859.70, 461,011.95 and 202,106.10 is: 302,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,859.70 : 461,011.95 = 202,106.10 : x
  2. Step 2: Convert to fraction form
    307,859.70/461,011.95 = 202,106.10/x
  3. Step 3: Cross multiply
    307,859.70x = 461,011.95 × 202,106.10
  4. Step 4: Simplify right side
    307,859.70x = 93,173,327,267.90
  5. Step 5: Solve for x
    x = 93,173,327,267.90/307,859.70
  6. Step 6: Final answer
    x = 302,648.67

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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.