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Finding the Fourth Proportional to 435,276.40, 653,024.76 and 210,744.40

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Solution

The fourth proportional to 435,276.40, 653,024.76 and 210,744.40 is: 316,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,276.40 : 653,024.76 = 210,744.40 : x
  2. Step 2: Convert to fraction form
    435,276.40/653,024.76 = 210,744.40/x
  3. Step 3: Cross multiply
    435,276.40x = 653,024.76 × 210,744.40
  4. Step 4: Simplify right side
    435,276.40x = 137,621,311,231.34
  5. Step 5: Solve for x
    x = 137,621,311,231.34/435,276.40
  6. Step 6: Final answer
    x = 316,169.94

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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.