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Finding the Fourth Proportional to 497,460.94, 686,606.90 and 316,137.51

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Solution

The fourth proportional to 497,460.94, 686,606.90 and 316,137.51 is: 436,340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,460.94 : 686,606.90 = 316,137.51 : x
  2. Step 2: Convert to fraction form
    497,460.94/686,606.90 = 316,137.51/x
  3. Step 3: Cross multiply
    497,460.94x = 686,606.90 × 316,137.51
  4. Step 4: Simplify right side
    497,460.94x = 217,062,194,134.13
  5. Step 5: Solve for x
    x = 217,062,194,134.13/497,460.94
  6. Step 6: Final answer
    x = 436,340.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.