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Finding the Fourth Proportional to 496,714.74, 745,197.86 and 141,730.01

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Solution

The fourth proportional to 496,714.74, 745,197.86 and 141,730.01 is: 212,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,714.74 : 745,197.86 = 141,730.01 : x
  2. Step 2: Convert to fraction form
    496,714.74/745,197.86 = 141,730.01/x
  3. Step 3: Cross multiply
    496,714.74x = 745,197.86 × 141,730.01
  4. Step 4: Simplify right side
    496,714.74x = 105,616,900,149.78
  5. Step 5: Solve for x
    x = 105,616,900,149.78/496,714.74
  6. Step 6: Final answer
    x = 212,630.90

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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.