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Finding the Fourth Proportional to 571,102.96, 856,656.42 and 144,638.68

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Solution

The fourth proportional to 571,102.96, 856,656.42 and 144,638.68 is: 216,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,102.96 : 856,656.42 = 144,638.68 : x
  2. Step 2: Convert to fraction form
    571,102.96/856,656.42 = 144,638.68/x
  3. Step 3: Cross multiply
    571,102.96x = 856,656.42 × 144,638.68
  4. Step 4: Simplify right side
    571,102.96x = 123,905,653,802.33
  5. Step 5: Solve for x
    x = 123,905,653,802.33/571,102.96
  6. Step 6: Final answer
    x = 216,958.52

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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.