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Finding the Fourth Proportional to 616,333.70, 924,648.20 and 195,609.57

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Solution

The fourth proportional to 616,333.70, 924,648.20 and 195,609.57 is: 293,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,333.70 : 924,648.20 = 195,609.57 : x
  2. Step 2: Convert to fraction form
    616,333.70/924,648.20 = 195,609.57/x
  3. Step 3: Cross multiply
    616,333.70x = 924,648.20 × 195,609.57
  4. Step 4: Simplify right side
    616,333.70x = 180,870,035,825.23
  5. Step 5: Solve for x
    x = 180,870,035,825.23/616,333.70
  6. Step 6: Final answer
    x = 293,461.22

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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.