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Finding the Fourth Proportional to 561,985.75, 843,082.58 and 177,831.33

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Solution

The fourth proportional to 561,985.75, 843,082.58 and 177,831.33 is: 266,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,985.75 : 843,082.58 = 177,831.33 : x
  2. Step 2: Convert to fraction form
    561,985.75/843,082.58 = 177,831.33/x
  3. Step 3: Cross multiply
    561,985.75x = 843,082.58 × 177,831.33
  4. Step 4: Simplify right side
    561,985.75x = 149,926,496,501.23
  5. Step 5: Solve for x
    x = 149,926,496,501.23/561,985.75
  6. Step 6: Final answer
    x = 266,779.89

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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.