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Finding the Fourth Proportional to 468,243.47, 646,205.24 and 264,328.92

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Solution

The fourth proportional to 468,243.47, 646,205.24 and 264,328.92 is: 364,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,243.47 : 646,205.24 = 264,328.92 : x
  2. Step 2: Convert to fraction form
    468,243.47/646,205.24 = 264,328.92/x
  3. Step 3: Cross multiply
    468,243.47x = 646,205.24 × 264,328.92
  4. Step 4: Simplify right side
    468,243.47x = 170,810,733,848.36
  5. Step 5: Solve for x
    x = 170,810,733,848.36/468,243.47
  6. Step 6: Final answer
    x = 364,790.42

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1.5x scale

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.