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Finding the Fourth Proportional to 535,311.64, 803,040.90 and 310,777.48

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Solution

The fourth proportional to 535,311.64, 803,040.90 and 310,777.48 is: 466,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,311.64 : 803,040.90 = 310,777.48 : x
  2. Step 2: Convert to fraction form
    535,311.64/803,040.90 = 310,777.48/x
  3. Step 3: Cross multiply
    535,311.64x = 803,040.90 × 310,777.48
  4. Step 4: Simplify right side
    535,311.64x = 249,567,027,238.93
  5. Step 5: Solve for x
    x = 249,567,027,238.93/535,311.64
  6. Step 6: Final answer
    x = 466,208.86

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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.