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Finding the Fourth Proportional to 321,547.76, 482,526.84 and 226,719.44

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Solution

The fourth proportional to 321,547.76, 482,526.84 and 226,719.44 is: 340,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,547.76 : 482,526.84 = 226,719.44 : x
  2. Step 2: Convert to fraction form
    321,547.76/482,526.84 = 226,719.44/x
  3. Step 3: Cross multiply
    321,547.76x = 482,526.84 × 226,719.44
  4. Step 4: Simplify right side
    321,547.76x = 109,398,214,949.77
  5. Step 5: Solve for x
    x = 109,398,214,949.77/321,547.76
  6. Step 6: Final answer
    x = 340,223.84

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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.