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Finding the Fourth Proportional to 634,435.26, 951,828.59 and 292,983

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Solution

The fourth proportional to 634,435.26, 951,828.59 and 292,983 is: 439,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,435.26 : 951,828.59 = 292,983 : x
  2. Step 2: Convert to fraction form
    634,435.26/951,828.59 = 292,983/x
  3. Step 3: Cross multiply
    634,435.26x = 951,828.59 × 292,983
  4. Step 4: Simplify right side
    634,435.26x = 278,869,595,783.97
  5. Step 5: Solve for x
    x = 278,869,595,783.97/634,435.26
  6. Step 6: Final answer
    x = 439,555.64

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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.