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Finding the Fourth Proportional to 482,953.10, 724,688.85 and 202,498.70

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Solution

The fourth proportional to 482,953.10, 724,688.85 and 202,498.70 is: 303,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,953.10 : 724,688.85 = 202,498.70 : x
  2. Step 2: Convert to fraction form
    482,953.10/724,688.85 = 202,498.70/x
  3. Step 3: Cross multiply
    482,953.10x = 724,688.85 × 202,498.70
  4. Step 4: Simplify right side
    482,953.10x = 146,748,550,029.50
  5. Step 5: Solve for x
    x = 146,748,550,029.50/482,953.10
  6. Step 6: Final answer
    x = 303,856.73

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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.