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Finding the Fourth Proportional to 307,583.60, 460,878.60 and 174,066.80

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Solution

The fourth proportional to 307,583.60, 460,878.60 and 174,066.80 is: 260,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,583.60 : 460,878.60 = 174,066.80 : x
  2. Step 2: Convert to fraction form
    307,583.60/460,878.60 = 174,066.80/x
  3. Step 3: Cross multiply
    307,583.60x = 460,878.60 × 174,066.80
  4. Step 4: Simplify right side
    307,583.60x = 80,223,663,090.48
  5. Step 5: Solve for x
    x = 80,223,663,090.48/307,583.60
  6. Step 6: Final answer
    x = 260,819.05

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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.