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Finding the Fourth Proportional to 307,219.40, 460,829.10 and 96,878.60

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Solution

The fourth proportional to 307,219.40, 460,829.10 and 96,878.60 is: 145,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,219.40 : 460,829.10 = 96,878.60 : x
  2. Step 2: Convert to fraction form
    307,219.40/460,829.10 = 96,878.60/x
  3. Step 3: Cross multiply
    307,219.40x = 460,829.10 × 96,878.60
  4. Step 4: Simplify right side
    307,219.40x = 44,644,478,047.26
  5. Step 5: Solve for x
    x = 44,644,478,047.26/307,219.40
  6. Step 6: Final answer
    x = 145,317.90

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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.