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Finding the Fourth Proportional to 616,460.86, 924,766.01 and 217,019.89

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Solution

The fourth proportional to 616,460.86, 924,766.01 and 217,019.89 is: 325,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,460.86 : 924,766.01 = 217,019.89 : x
  2. Step 2: Convert to fraction form
    616,460.86/924,766.01 = 217,019.89/x
  3. Step 3: Cross multiply
    616,460.86x = 924,766.01 × 217,019.89
  4. Step 4: Simplify right side
    616,460.86x = 200,692,612,057.01
  5. Step 5: Solve for x
    x = 200,692,612,057.01/616,460.86
  6. Step 6: Final answer
    x = 325,556.13

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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.