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Finding the Fourth Proportional to 496,730.72, 745,221.84 and 141,746

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Solution

The fourth proportional to 496,730.72, 745,221.84 and 141,746 is: 212,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,730.72 : 745,221.84 = 141,746 : x
  2. Step 2: Convert to fraction form
    496,730.72/745,221.84 = 141,746/x
  3. Step 3: Cross multiply
    496,730.72x = 745,221.84 × 141,746
  4. Step 4: Simplify right side
    496,730.72x = 105,632,214,932.64
  5. Step 5: Solve for x
    x = 105,632,214,932.64/496,730.72
  6. Step 6: Final answer
    x = 212,654.89

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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.