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Finding the Fourth Proportional to 497,455.38, 686,598.93 and 316,131.75

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Solution

The fourth proportional to 497,455.38, 686,598.93 and 316,131.75 is: 436,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,455.38 : 686,598.93 = 316,131.75 : x
  2. Step 2: Convert to fraction form
    497,455.38/686,598.93 = 316,131.75/x
  3. Step 3: Cross multiply
    497,455.38x = 686,598.93 × 316,131.75
  4. Step 4: Simplify right side
    497,455.38x = 217,055,721,289.03
  5. Step 5: Solve for x
    x = 217,055,721,289.03/497,455.38
  6. Step 6: Final answer
    x = 436,332.04

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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.