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Finding the Fourth Proportional to 384,476.80, 577,298.40 and 295,830.40

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Solution

The fourth proportional to 384,476.80, 577,298.40 and 295,830.40 is: 444,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,476.80 : 577,298.40 = 295,830.40 : x
  2. Step 2: Convert to fraction form
    384,476.80/577,298.40 = 295,830.40/x
  3. Step 3: Cross multiply
    384,476.80x = 577,298.40 × 295,830.40
  4. Step 4: Simplify right side
    384,476.80x = 170,782,416,591.36
  5. Step 5: Solve for x
    x = 170,782,416,591.36/384,476.80
  6. Step 6: Final answer
    x = 444,194.34

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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.