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Finding the Fourth Proportional to 274,205.80, 411,308.70 and 230,903.20

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Solution

The fourth proportional to 274,205.80, 411,308.70 and 230,903.20 is: 346,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,205.80 : 411,308.70 = 230,903.20 : x
  2. Step 2: Convert to fraction form
    274,205.80/411,308.70 = 230,903.20/x
  3. Step 3: Cross multiply
    274,205.80x = 411,308.70 × 230,903.20
  4. Step 4: Simplify right side
    274,205.80x = 94,972,495,017.84
  5. Step 5: Solve for x
    x = 94,972,495,017.84/274,205.80
  6. Step 6: Final answer
    x = 346,354.80

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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.