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Finding the Fourth Proportional to 295,854.64, 443,804.64 and 85,494.40

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Solution

The fourth proportional to 295,854.64, 443,804.64 and 85,494.40 is: 128,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,854.64 : 443,804.64 = 85,494.40 : x
  2. Step 2: Convert to fraction form
    295,854.64/443,804.64 = 85,494.40/x
  3. Step 3: Cross multiply
    295,854.64x = 443,804.64 × 85,494.40
  4. Step 4: Simplify right side
    295,854.64x = 37,942,811,414.02
  5. Step 5: Solve for x
    x = 37,942,811,414.02/295,854.64
  6. Step 6: Final answer
    x = 128,248.15

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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.