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Finding the Fourth Proportional to 402,153.80, 603,230.70 and 307,675.40

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Solution

The fourth proportional to 402,153.80, 603,230.70 and 307,675.40 is: 461,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,153.80 : 603,230.70 = 307,675.40 : x
  2. Step 2: Convert to fraction form
    402,153.80/603,230.70 = 307,675.40/x
  3. Step 3: Cross multiply
    402,153.80x = 603,230.70 × 307,675.40
  4. Step 4: Simplify right side
    402,153.80x = 185,599,246,914.78
  5. Step 5: Solve for x
    x = 185,599,246,914.78/402,153.80
  6. Step 6: Final answer
    x = 461,513.10

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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.