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Finding the Fourth Proportional to 482,719.04, 723,924.96 and 202,184

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Solution

The fourth proportional to 482,719.04, 723,924.96 and 202,184 is: 303,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,719.04 : 723,924.96 = 202,184 : x
  2. Step 2: Convert to fraction form
    482,719.04/723,924.96 = 202,184/x
  3. Step 3: Cross multiply
    482,719.04x = 723,924.96 × 202,184
  4. Step 4: Simplify right side
    482,719.04x = 146,366,044,112.64
  5. Step 5: Solve for x
    x = 146,366,044,112.64/482,719.04
  6. Step 6: Final answer
    x = 303,211.67

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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.