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Finding the Fourth Proportional to 470,274.87, 648,537.26 and 362,674.47

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Solution

The fourth proportional to 470,274.87, 648,537.26 and 362,674.47 is: 500,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,274.87 : 648,537.26 = 362,674.47 : x
  2. Step 2: Convert to fraction form
    470,274.87/648,537.26 = 362,674.47/x
  3. Step 3: Cross multiply
    470,274.87x = 648,537.26 × 362,674.47
  4. Step 4: Simplify right side
    470,274.87x = 235,207,905,232.38
  5. Step 5: Solve for x
    x = 235,207,905,232.38/470,274.87
  6. Step 6: Final answer
    x = 500,149.85

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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.