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Finding the Fourth Proportional to 307,404.30, 461,106.45 and 202,341.90

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Solution

The fourth proportional to 307,404.30, 461,106.45 and 202,341.90 is: 303,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,404.30 : 461,106.45 = 202,341.90 : x
  2. Step 2: Convert to fraction form
    307,404.30/461,106.45 = 202,341.90/x
  3. Step 3: Cross multiply
    307,404.30x = 461,106.45 × 202,341.90
  4. Step 4: Simplify right side
    307,404.30x = 93,301,155,195.26
  5. Step 5: Solve for x
    x = 93,301,155,195.26/307,404.30
  6. Step 6: Final answer
    x = 303,512.85

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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.