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Finding the Fourth Proportional to 307,869.90, 461,758.68 and 97,480.50

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Solution

The fourth proportional to 307,869.90, 461,758.68 and 97,480.50 is: 146,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,869.90 : 461,758.68 = 97,480.50 : x
  2. Step 2: Convert to fraction form
    307,869.90/461,758.68 = 97,480.50/x
  3. Step 3: Cross multiply
    307,869.90x = 461,758.68 × 97,480.50
  4. Step 4: Simplify right side
    307,869.90x = 45,012,467,005.74
  5. Step 5: Solve for x
    x = 45,012,467,005.74/307,869.90
  6. Step 6: Final answer
    x = 146,206.13

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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.