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Finding the Fourth Proportional to 551,653.62, 761,358.74 and 309,954.89

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Solution

The fourth proportional to 551,653.62, 761,358.74 and 309,954.89 is: 427,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,653.62 : 761,358.74 = 309,954.89 : x
  2. Step 2: Convert to fraction form
    551,653.62/761,358.74 = 309,954.89/x
  3. Step 3: Cross multiply
    551,653.62x = 761,358.74 × 309,954.89
  4. Step 4: Simplify right side
    551,653.62x = 235,986,859,150.67
  5. Step 5: Solve for x
    x = 235,986,859,150.67/551,653.62
  6. Step 6: Final answer
    x = 427,780.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.