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Finding the Fourth Proportional to 503,800.86, 753,926.43 and 314,350.42

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Solution

The fourth proportional to 503,800.86, 753,926.43 and 314,350.42 is: 470,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,800.86 : 753,926.43 = 314,350.42 : x
  2. Step 2: Convert to fraction form
    503,800.86/753,926.43 = 314,350.42/x
  3. Step 3: Cross multiply
    503,800.86x = 753,926.43 × 314,350.42
  4. Step 4: Simplify right side
    503,800.86x = 236,997,090,627.21
  5. Step 5: Solve for x
    x = 236,997,090,627.21/503,800.86
  6. Step 6: Final answer
    x = 470,418.19

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1.5x scale

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.