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Finding the Fourth Proportional to 464,104.33, 696,354.99 and 194,295.50

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Solution

The fourth proportional to 464,104.33, 696,354.99 and 194,295.50 is: 291,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,104.33 : 696,354.99 = 194,295.50 : x
  2. Step 2: Convert to fraction form
    464,104.33/696,354.99 = 194,295.50/x
  3. Step 3: Cross multiply
    464,104.33x = 696,354.99 × 194,295.50
  4. Step 4: Simplify right side
    464,104.33x = 135,298,642,700.43
  5. Step 5: Solve for x
    x = 135,298,642,700.43/464,104.33
  6. Step 6: Final answer
    x = 291,526.35

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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.