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Finding the Fourth Proportional to 454,500.40, 681,829.80 and 188,114.80

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Solution

The fourth proportional to 454,500.40, 681,829.80 and 188,114.80 is: 282,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,500.40 : 681,829.80 = 188,114.80 : x
  2. Step 2: Convert to fraction form
    454,500.40/681,829.80 = 188,114.80/x
  3. Step 3: Cross multiply
    454,500.40x = 681,829.80 × 188,114.80
  4. Step 4: Simplify right side
    454,500.40x = 128,262,276,461.04
  5. Step 5: Solve for x
    x = 128,262,276,461.04/454,500.40
  6. Step 6: Final answer
    x = 282,204.98

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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.