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Finding the Fourth Proportional to 294,641.46, 442,182.30 and 199,646.40

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Solution

The fourth proportional to 294,641.46, 442,182.30 and 199,646.40 is: 299,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,641.46 : 442,182.30 = 199,646.40 : x
  2. Step 2: Convert to fraction form
    294,641.46/442,182.30 = 199,646.40/x
  3. Step 3: Cross multiply
    294,641.46x = 442,182.30 × 199,646.40
  4. Step 4: Simplify right side
    294,641.46x = 88,280,104,338.72
  5. Step 5: Solve for x
    x = 88,280,104,338.72/294,641.46
  6. Step 6: Final answer
    x = 299,618.74

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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.