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Finding the Fourth Proportional to 499,875, 689,827.50 and 273,520.50

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Solution

The fourth proportional to 499,875, 689,827.50 and 273,520.50 is: 377,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,875 : 689,827.50 = 273,520.50 : x
  2. Step 2: Convert to fraction form
    499,875/689,827.50 = 273,520.50/x
  3. Step 3: Cross multiply
    499,875x = 689,827.50 × 273,520.50
  4. Step 4: Simplify right side
    499,875x = 188,681,962,713.75
  5. Step 5: Solve for x
    x = 188,681,962,713.75/499,875
  6. Step 6: Final answer
    x = 377,458.29

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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.