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Finding the Fourth Proportional to 543,875.64, 815,729.10 and 277,832.76

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Solution

The fourth proportional to 543,875.64, 815,729.10 and 277,832.76 is: 416,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,875.64 : 815,729.10 = 277,832.76 : x
  2. Step 2: Convert to fraction form
    543,875.64/815,729.10 = 277,832.76/x
  3. Step 3: Cross multiply
    543,875.64x = 815,729.10 × 277,832.76
  4. Step 4: Simplify right side
    543,875.64x = 226,636,267,265.32
  5. Step 5: Solve for x
    x = 226,636,267,265.32/543,875.64
  6. Step 6: Final answer
    x = 416,706.05

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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.