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Finding the Fourth Proportional to 407,755.50, 562,702.59 and 228,907.50

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Solution

The fourth proportional to 407,755.50, 562,702.59 and 228,907.50 is: 315,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,755.50 : 562,702.59 = 228,907.50 : x
  2. Step 2: Convert to fraction form
    407,755.50/562,702.59 = 228,907.50/x
  3. Step 3: Cross multiply
    407,755.50x = 562,702.59 × 228,907.50
  4. Step 4: Simplify right side
    407,755.50x = 128,806,843,120.43
  5. Step 5: Solve for x
    x = 128,806,843,120.43/407,755.50
  6. Step 6: Final answer
    x = 315,892.35

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