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Finding the Fourth Proportional to 676,102.94, 1,013,997 and 316,521.88

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Solution

The fourth proportional to 676,102.94, 1,013,997 and 316,521.88 is: 474,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,102.94 : 1,013,997 = 316,521.88 : x
  2. Step 2: Convert to fraction form
    676,102.94/1,013,997 = 316,521.88/x
  3. Step 3: Cross multiply
    676,102.94x = 1,013,997 × 316,521.88
  4. Step 4: Simplify right side
    676,102.94x = 320,952,236,754.36
  5. Step 5: Solve for x
    x = 320,952,236,754.36/676,102.94
  6. Step 6: Final answer
    x = 474,709.13

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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.