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Finding the Fourth Proportional to 302,683.25, 452,903.88 and 189,461.45

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Solution

The fourth proportional to 302,683.25, 452,903.88 and 189,461.45 is: 283,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,683.25 : 452,903.88 = 189,461.45 : x
  2. Step 2: Convert to fraction form
    302,683.25/452,903.88 = 189,461.45/x
  3. Step 3: Cross multiply
    302,683.25x = 452,903.88 × 189,461.45
  4. Step 4: Simplify right side
    302,683.25x = 85,807,825,815.43
  5. Step 5: Solve for x
    x = 85,807,825,815.43/302,683.25
  6. Step 6: Final answer
    x = 283,490.50

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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.