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Finding the Fourth Proportional to 464,148.88, 696,310.80 and 330,698.14

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Solution

The fourth proportional to 464,148.88, 696,310.80 and 330,698.14 is: 496,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,148.88 : 696,310.80 = 330,698.14 : x
  2. Step 2: Convert to fraction form
    464,148.88/696,310.80 = 330,698.14/x
  3. Step 3: Cross multiply
    464,148.88x = 696,310.80 × 330,698.14
  4. Step 4: Simplify right side
    464,148.88x = 230,268,686,421.91
  5. Step 5: Solve for x
    x = 230,268,686,421.91/464,148.88
  6. Step 6: Final answer
    x = 496,109.54

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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.