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Finding the Fourth Proportional to 468,729.60, 646,886.64 and 264,817.92

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Solution

The fourth proportional to 468,729.60, 646,886.64 and 264,817.92 is: 365,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,729.60 : 646,886.64 = 264,817.92 : x
  2. Step 2: Convert to fraction form
    468,729.60/646,886.64 = 264,817.92/x
  3. Step 3: Cross multiply
    468,729.60x = 646,886.64 × 264,817.92
  4. Step 4: Simplify right side
    468,729.60x = 171,307,174,480.59
  5. Step 5: Solve for x
    x = 171,307,174,480.59/468,729.60
  6. Step 6: Final answer
    x = 365,471.21

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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.