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Finding the Fourth Proportional to 852,403.10, 1,278,604.65 and 497,234.30

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Solution

The fourth proportional to 852,403.10, 1,278,604.65 and 497,234.30 is: 745,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,403.10 : 1,278,604.65 = 497,234.30 : x
  2. Step 2: Convert to fraction form
    852,403.10/1,278,604.65 = 497,234.30/x
  3. Step 3: Cross multiply
    852,403.10x = 1,278,604.65 × 497,234.30
  4. Step 4: Simplify right side
    852,403.10x = 635,766,088,119.50
  5. Step 5: Solve for x
    x = 635,766,088,119.50/852,403.10
  6. Step 6: Final answer
    x = 745,851.45

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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.