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Finding the Fourth Proportional to 287,430.30, 431,146.26 and 100,441.80

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Solution

The fourth proportional to 287,430.30, 431,146.26 and 100,441.80 is: 150,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,430.30 : 431,146.26 = 100,441.80 : x
  2. Step 2: Convert to fraction form
    287,430.30/431,146.26 = 100,441.80/x
  3. Step 3: Cross multiply
    287,430.30x = 431,146.26 × 100,441.80
  4. Step 4: Simplify right side
    287,430.30x = 43,305,106,417.67
  5. Step 5: Solve for x
    x = 43,305,106,417.67/287,430.30
  6. Step 6: Final answer
    x = 150,662.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.