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Finding the Fourth Proportional to 436,011.50, 653,408.30 and 211,312.28

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Solution

The fourth proportional to 436,011.50, 653,408.30 and 211,312.28 is: 316,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,011.50 : 653,408.30 = 211,312.28 : x
  2. Step 2: Convert to fraction form
    436,011.50/653,408.30 = 211,312.28/x
  3. Step 3: Cross multiply
    436,011.50x = 653,408.30 × 211,312.28
  4. Step 4: Simplify right side
    436,011.50x = 138,073,197,643.92
  5. Step 5: Solve for x
    x = 138,073,197,643.92/436,011.50
  6. Step 6: Final answer
    x = 316,673.29

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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.