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Finding the Fourth Proportional to 649,408.96, 896,167.56 and 362,931.40

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Solution

The fourth proportional to 649,408.96, 896,167.56 and 362,931.40 is: 500,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,408.96 : 896,167.56 = 362,931.40 : x
  2. Step 2: Convert to fraction form
    649,408.96/896,167.56 = 362,931.40/x
  3. Step 3: Cross multiply
    649,408.96x = 896,167.56 × 362,931.40
  4. Step 4: Simplify right side
    649,408.96x = 325,247,347,185.38
  5. Step 5: Solve for x
    x = 325,247,347,185.38/649,408.96
  6. Step 6: Final answer
    x = 500,835.94

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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.