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Finding the Fourth Proportional to 468,441.65, 702,990.53 and 202,393.10

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Solution

The fourth proportional to 468,441.65, 702,990.53 and 202,393.10 is: 303,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,441.65 : 702,990.53 = 202,393.10 : x
  2. Step 2: Convert to fraction form
    468,441.65/702,990.53 = 202,393.10/x
  3. Step 3: Cross multiply
    468,441.65x = 702,990.53 × 202,393.10
  4. Step 4: Simplify right side
    468,441.65x = 142,280,432,637.34
  5. Step 5: Solve for x
    x = 142,280,432,637.34/468,441.65
  6. Step 6: Final answer
    x = 303,731.39

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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.