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Finding the Fourth Proportional to 633,148.34, 949,378.01 and 228,285.42

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Solution

The fourth proportional to 633,148.34, 949,378.01 and 228,285.42 is: 342,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,148.34 : 949,378.01 = 228,285.42 : x
  2. Step 2: Convert to fraction form
    633,148.34/949,378.01 = 228,285.42/x
  3. Step 3: Cross multiply
    633,148.34x = 949,378.01 × 228,285.42
  4. Step 4: Simplify right side
    633,148.34x = 216,729,156,610.19
  5. Step 5: Solve for x
    x = 216,729,156,610.19/633,148.34
  6. Step 6: Final answer
    x = 342,303.92

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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.