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Finding the Fourth Proportional to 523,610.33, 785,460.54 and 144,531.14

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Solution

The fourth proportional to 523,610.33, 785,460.54 and 144,531.14 is: 216,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,610.33 : 785,460.54 = 144,531.14 : x
  2. Step 2: Convert to fraction form
    523,610.33/785,460.54 = 144,531.14/x
  3. Step 3: Cross multiply
    523,610.33x = 785,460.54 × 144,531.14
  4. Step 4: Simplify right side
    523,610.33x = 113,523,503,885.91
  5. Step 5: Solve for x
    x = 113,523,503,885.91/523,610.33
  6. Step 6: Final answer
    x = 216,809.14

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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.