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Finding the Fourth Proportional to 314,424.46, 470,949.30 and 243,159.70

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Solution

The fourth proportional to 314,424.46, 470,949.30 and 243,159.70 is: 364,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,424.46 : 470,949.30 = 243,159.70 : x
  2. Step 2: Convert to fraction form
    314,424.46/470,949.30 = 243,159.70/x
  3. Step 3: Cross multiply
    314,424.46x = 470,949.30 × 243,159.70
  4. Step 4: Simplify right side
    314,424.46x = 114,515,889,226.27
  5. Step 5: Solve for x
    x = 114,515,889,226.27/314,424.46
  6. Step 6: Final answer
    x = 364,207.96

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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.