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Finding the Fourth Proportional to 620,431.90, 929,663.70 and 409,823.80

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Solution

The fourth proportional to 620,431.90, 929,663.70 and 409,823.80 is: 614,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,431.90 : 929,663.70 = 409,823.80 : x
  2. Step 2: Convert to fraction form
    620,431.90/929,663.70 = 409,823.80/x
  3. Step 3: Cross multiply
    620,431.90x = 929,663.70 × 409,823.80
  4. Step 4: Simplify right side
    620,431.90x = 380,998,310,256.06
  5. Step 5: Solve for x
    x = 380,998,310,256.06/620,431.90
  6. Step 6: Final answer
    x = 614,085.62

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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.