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Finding the Fourth Proportional to 332,893.47, 499,465.91 and 199,866.46

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Solution

The fourth proportional to 332,893.47, 499,465.91 and 199,866.46 is: 299,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,893.47 : 499,465.91 = 199,866.46 : x
  2. Step 2: Convert to fraction form
    332,893.47/499,465.91 = 199,866.46/x
  3. Step 3: Cross multiply
    332,893.47x = 499,465.91 × 199,866.46
  4. Step 4: Simplify right side
    332,893.47x = 99,826,483,322.38
  5. Step 5: Solve for x
    x = 99,826,483,322.38/332,893.47
  6. Step 6: Final answer
    x = 299,875.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.