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Finding the Fourth Proportional to 483,114.10, 724,411.95 and 202,314.10

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Solution

The fourth proportional to 483,114.10, 724,411.95 and 202,314.10 is: 303,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,114.10 : 724,411.95 = 202,314.10 : x
  2. Step 2: Convert to fraction form
    483,114.10/724,411.95 = 202,314.10/x
  3. Step 3: Cross multiply
    483,114.10x = 724,411.95 × 202,314.10
  4. Step 4: Simplify right side
    483,114.10x = 146,558,751,693.50
  5. Step 5: Solve for x
    x = 146,558,751,693.50/483,114.10
  6. Step 6: Final answer
    x = 303,362.60

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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.