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Finding the Fourth Proportional to 506,481.65, 759,441.98 and 207,172.40

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Solution

The fourth proportional to 506,481.65, 759,441.98 and 207,172.40 is: 310,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,481.65 : 759,441.98 = 207,172.40 : x
  2. Step 2: Convert to fraction form
    506,481.65/759,441.98 = 207,172.40/x
  3. Step 3: Cross multiply
    506,481.65x = 759,441.98 × 207,172.40
  4. Step 4: Simplify right side
    506,481.65x = 157,335,412,824.28
  5. Step 5: Solve for x
    x = 157,335,412,824.28/506,481.65
  6. Step 6: Final answer
    x = 310,643.86

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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.