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Finding the Fourth Proportional to 514,716.84, 771,885.50 and 177,671.72

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Solution

The fourth proportional to 514,716.84, 771,885.50 and 177,671.72 is: 266,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,716.84 : 771,885.50 = 177,671.72 : x
  2. Step 2: Convert to fraction form
    514,716.84/771,885.50 = 177,671.72/x
  3. Step 3: Cross multiply
    514,716.84x = 771,885.50 × 177,671.72
  4. Step 4: Simplify right side
    514,716.84x = 137,142,224,428.06
  5. Step 5: Solve for x
    x = 137,142,224,428.06/514,716.84
  6. Step 6: Final answer
    x = 266,442.08

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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.