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Finding the Fourth Proportional to 287,029.80, 430,350.30 and 152,116.20

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Solution

The fourth proportional to 287,029.80, 430,350.30 and 152,116.20 is: 228,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,029.80 : 430,350.30 = 152,116.20 : x
  2. Step 2: Convert to fraction form
    287,029.80/430,350.30 = 152,116.20/x
  3. Step 3: Cross multiply
    287,029.80x = 430,350.30 × 152,116.20
  4. Step 4: Simplify right side
    287,029.80x = 65,463,252,304.86
  5. Step 5: Solve for x
    x = 65,463,252,304.86/287,029.80
  6. Step 6: Final answer
    x = 228,071.27

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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.