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Finding the Fourth Proportional to 522,274.70, 716,045.31 and 512,826.86

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Solution

The fourth proportional to 522,274.70, 716,045.31 and 512,826.86 is: 703,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,274.70 : 716,045.31 = 512,826.86 : x
  2. Step 2: Convert to fraction form
    522,274.70/716,045.31 = 512,826.86/x
  3. Step 3: Cross multiply
    522,274.70x = 716,045.31 × 512,826.86
  4. Step 4: Simplify right side
    522,274.70x = 367,207,267,945.03
  5. Step 5: Solve for x
    x = 367,207,267,945.03/522,274.70
  6. Step 6: Final answer
    x = 703,092.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.