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Finding the Fourth Proportional to 517,044, 775,560.20 and 201,722.36

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Solution

The fourth proportional to 517,044, 775,560.20 and 201,722.36 is: 302,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,044 : 775,560.20 = 201,722.36 : x
  2. Step 2: Convert to fraction form
    517,044/775,560.20 = 201,722.36/x
  3. Step 3: Cross multiply
    517,044x = 775,560.20 × 201,722.36
  4. Step 4: Simplify right side
    517,044x = 156,447,833,866.07
  5. Step 5: Solve for x
    x = 156,447,833,866.07/517,044
  6. Step 6: Final answer
    x = 302,581.28

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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.