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Finding the Fourth Proportional to 514,625.48, 771,940.07 and 364,411.40

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Solution

The fourth proportional to 514,625.48, 771,940.07 and 364,411.40 is: 546,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,625.48 : 771,940.07 = 364,411.40 : x
  2. Step 2: Convert to fraction form
    514,625.48/771,940.07 = 364,411.40/x
  3. Step 3: Cross multiply
    514,625.48x = 771,940.07 × 364,411.40
  4. Step 4: Simplify right side
    514,625.48x = 281,303,758,676.13
  5. Step 5: Solve for x
    x = 281,303,758,676.13/514,625.48
  6. Step 6: Final answer
    x = 546,618.41

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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.