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Finding the Fourth Proportional to 535,639.32, 803,506.14 and 198,683.64

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Solution

The fourth proportional to 535,639.32, 803,506.14 and 198,683.64 is: 298,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,639.32 : 803,506.14 = 198,683.64 : x
  2. Step 2: Convert to fraction form
    535,639.32/803,506.14 = 198,683.64/x
  3. Step 3: Cross multiply
    535,639.32x = 803,506.14 × 198,683.64
  4. Step 4: Simplify right side
    535,639.32x = 159,643,524,657.55
  5. Step 5: Solve for x
    x = 159,643,524,657.55/535,639.32
  6. Step 6: Final answer
    x = 298,042.95

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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.