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Finding the Fourth Proportional to 483,214.06, 724,501.17 and 230,533.55

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Solution

The fourth proportional to 483,214.06, 724,501.17 and 230,533.55 is: 345,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,214.06 : 724,501.17 = 230,533.55 : x
  2. Step 2: Convert to fraction form
    483,214.06/724,501.17 = 230,533.55/x
  3. Step 3: Cross multiply
    483,214.06x = 724,501.17 × 230,533.55
  4. Step 4: Simplify right side
    483,214.06x = 167,021,826,699.25
  5. Step 5: Solve for x
    x = 167,021,826,699.25/483,214.06
  6. Step 6: Final answer
    x = 345,647.70

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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.