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Finding the Fourth Proportional to 464,966.60, 697,449.90 and 329,153.90

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Solution

The fourth proportional to 464,966.60, 697,449.90 and 329,153.90 is: 493,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,966.60 : 697,449.90 = 329,153.90 : x
  2. Step 2: Convert to fraction form
    464,966.60/697,449.90 = 329,153.90/x
  3. Step 3: Cross multiply
    464,966.60x = 697,449.90 × 329,153.90
  4. Step 4: Simplify right side
    464,966.60x = 229,568,354,639.61
  5. Step 5: Solve for x
    x = 229,568,354,639.61/464,966.60
  6. Step 6: Final answer
    x = 493,730.85

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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.