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Finding the Fourth Proportional to 471,492.08, 650,206.80 and 316,793.22

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Solution

The fourth proportional to 471,492.08, 650,206.80 and 316,793.22 is: 436,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,492.08 : 650,206.80 = 316,793.22 : x
  2. Step 2: Convert to fraction form
    471,492.08/650,206.80 = 316,793.22/x
  3. Step 3: Cross multiply
    471,492.08x = 650,206.80 × 316,793.22
  4. Step 4: Simplify right side
    471,492.08x = 205,981,105,837.90
  5. Step 5: Solve for x
    x = 205,981,105,837.90/471,492.08
  6. Step 6: Final answer
    x = 436,870.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.