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Finding the Fourth Proportional to 334,006.40, 501,009.60 and 228,252.80

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Solution

The fourth proportional to 334,006.40, 501,009.60 and 228,252.80 is: 342,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,006.40 : 501,009.60 = 228,252.80 : x
  2. Step 2: Convert to fraction form
    334,006.40/501,009.60 = 228,252.80/x
  3. Step 3: Cross multiply
    334,006.40x = 501,009.60 × 228,252.80
  4. Step 4: Simplify right side
    334,006.40x = 114,356,844,026.88
  5. Step 5: Solve for x
    x = 114,356,844,026.88/334,006.40
  6. Step 6: Final answer
    x = 342,379.20

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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.