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Finding the Fourth Proportional to 466,608.52, 699,199.76 and 314,242.20

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Solution

The fourth proportional to 466,608.52, 699,199.76 and 314,242.20 is: 470,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,608.52 : 699,199.76 = 314,242.20 : x
  2. Step 2: Convert to fraction form
    466,608.52/699,199.76 = 314,242.20/x
  3. Step 3: Cross multiply
    466,608.52x = 699,199.76 × 314,242.20
  4. Step 4: Simplify right side
    466,608.52x = 219,718,071,607.48
  5. Step 5: Solve for x
    x = 219,718,071,607.48/466,608.52
  6. Step 6: Final answer
    x = 470,883.12

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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.