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Finding the Fourth Proportional to 357,334.73, 535,498.17 and 197,482.65

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Solution

The fourth proportional to 357,334.73, 535,498.17 and 197,482.65 is: 295,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,334.73 : 535,498.17 = 197,482.65 : x
  2. Step 2: Convert to fraction form
    357,334.73/535,498.17 = 197,482.65/x
  3. Step 3: Cross multiply
    357,334.73x = 535,498.17 × 197,482.65
  4. Step 4: Simplify right side
    357,334.73x = 105,751,596,043.91
  5. Step 5: Solve for x
    x = 105,751,596,043.91/357,334.73
  6. Step 6: Final answer
    x = 295,945.48

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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.