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Finding the Fourth Proportional to 533,818.89, 736,648.10 and 319,077.36

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Solution

The fourth proportional to 533,818.89, 736,648.10 and 319,077.36 is: 440,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,818.89 : 736,648.10 = 319,077.36 : x
  2. Step 2: Convert to fraction form
    533,818.89/736,648.10 = 319,077.36/x
  3. Step 3: Cross multiply
    533,818.89x = 736,648.10 × 319,077.36
  4. Step 4: Simplify right side
    533,818.89x = 235,047,730,997.02
  5. Step 5: Solve for x
    x = 235,047,730,997.02/533,818.89
  6. Step 6: Final answer
    x = 440,313.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.