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Finding the Fourth Proportional to 517,503.78, 776,009.84 and 180,503.51

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Solution

The fourth proportional to 517,503.78, 776,009.84 and 180,503.51 is: 270,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,503.78 : 776,009.84 = 180,503.51 : x
  2. Step 2: Convert to fraction form
    517,503.78/776,009.84 = 180,503.51/x
  3. Step 3: Cross multiply
    517,503.78x = 776,009.84 × 180,503.51
  4. Step 4: Simplify right side
    517,503.78x = 140,072,495,131.97
  5. Step 5: Solve for x
    x = 140,072,495,131.97/517,503.78
  6. Step 6: Final answer
    x = 270,669.51

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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.