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Finding the Fourth Proportional to 500,953.44, 749,656.37 and 311,503.02

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Solution

The fourth proportional to 500,953.44, 749,656.37 and 311,503.02 is: 466,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,953.44 : 749,656.37 = 311,503.02 : x
  2. Step 2: Convert to fraction form
    500,953.44/749,656.37 = 311,503.02/x
  3. Step 3: Cross multiply
    500,953.44x = 749,656.37 × 311,503.02
  4. Step 4: Simplify right side
    500,953.44x = 233,520,221,659.72
  5. Step 5: Solve for x
    x = 233,520,221,659.72/500,953.44
  6. Step 6: Final answer
    x = 466,151.55

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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.