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Finding the Fourth Proportional to 460,104.59, 634,796.65 and 278,758.55

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Solution

The fourth proportional to 460,104.59, 634,796.65 and 278,758.55 is: 384,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,104.59 : 634,796.65 = 278,758.55 : x
  2. Step 2: Convert to fraction form
    460,104.59/634,796.65 = 278,758.55/x
  3. Step 3: Cross multiply
    460,104.59x = 634,796.65 × 278,758.55
  4. Step 4: Simplify right side
    460,104.59x = 176,954,993,698.86
  5. Step 5: Solve for x
    x = 176,954,993,698.86/460,104.59
  6. Step 6: Final answer
    x = 384,597.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.