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Finding the Fourth Proportional to 616,104.48, 924,189.60 and 195,412.80

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Solution

The fourth proportional to 616,104.48, 924,189.60 and 195,412.80 is: 293,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,104.48 : 924,189.60 = 195,412.80 : x
  2. Step 2: Convert to fraction form
    616,104.48/924,189.60 = 195,412.80/x
  3. Step 3: Cross multiply
    616,104.48x = 924,189.60 × 195,412.80
  4. Step 4: Simplify right side
    616,104.48x = 180,598,477,466.88
  5. Step 5: Solve for x
    x = 180,598,477,466.88/616,104.48
  6. Step 6: Final answer
    x = 293,129.63

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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.