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Finding the Fourth Proportional to 643,999.80, 965,999.70 and 407,609.40

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Solution

The fourth proportional to 643,999.80, 965,999.70 and 407,609.40 is: 611,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,999.80 : 965,999.70 = 407,609.40 : x
  2. Step 2: Convert to fraction form
    643,999.80/965,999.70 = 407,609.40/x
  3. Step 3: Cross multiply
    643,999.80x = 965,999.70 × 407,609.40
  4. Step 4: Simplify right side
    643,999.80x = 393,750,558,117.18
  5. Step 5: Solve for x
    x = 393,750,558,117.18/643,999.80
  6. Step 6: Final answer
    x = 611,414.10

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1.5x scale

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.