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Finding the Fourth Proportional to 483,214.80, 724,818.60 and 146,254.80

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Solution

The fourth proportional to 483,214.80, 724,818.60 and 146,254.80 is: 219,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,214.80 : 724,818.60 = 146,254.80 : x
  2. Step 2: Convert to fraction form
    483,214.80/724,818.60 = 146,254.80/x
  3. Step 3: Cross multiply
    483,214.80x = 724,818.60 × 146,254.80
  4. Step 4: Simplify right side
    483,214.80x = 106,008,199,379.28
  5. Step 5: Solve for x
    x = 106,008,199,379.28/483,214.80
  6. Step 6: Final answer
    x = 219,381.11

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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.