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Finding the Fourth Proportional to 496,674.86, 745,019.42 and 141,688.91

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Solution

The fourth proportional to 496,674.86, 745,019.42 and 141,688.91 is: 212,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,674.86 : 745,019.42 = 141,688.91 : x
  2. Step 2: Convert to fraction form
    496,674.86/745,019.42 = 141,688.91/x
  3. Step 3: Cross multiply
    496,674.86x = 745,019.42 × 141,688.91
  4. Step 4: Simplify right side
    496,674.86x = 105,560,990,702.74
  5. Step 5: Solve for x
    x = 105,560,990,702.74/496,674.86
  6. Step 6: Final answer
    x = 212,535.40

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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.