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Finding the Fourth Proportional to 402,940.65, 604,202.90 and 118,594.20

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Solution

The fourth proportional to 402,940.65, 604,202.90 and 118,594.20 is: 177,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,940.65 : 604,202.90 = 118,594.20 : x
  2. Step 2: Convert to fraction form
    402,940.65/604,202.90 = 118,594.20/x
  3. Step 3: Cross multiply
    402,940.65x = 604,202.90 × 118,594.20
  4. Step 4: Simplify right side
    402,940.65x = 71,654,958,970.21
  5. Step 5: Solve for x
    x = 71,654,958,970.21/402,940.65
  6. Step 6: Final answer
    x = 177,830.06

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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.