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Finding the Fourth Proportional to 456,066.96, 629,550 and 408,237.60

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Solution

The fourth proportional to 456,066.96, 629,550 and 408,237.60 is: 563,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,066.96 : 629,550 = 408,237.60 : x
  2. Step 2: Convert to fraction form
    456,066.96/629,550 = 408,237.60/x
  3. Step 3: Cross multiply
    456,066.96x = 629,550 × 408,237.60
  4. Step 4: Simplify right side
    456,066.96x = 257,005,981,080
  5. Step 5: Solve for x
    x = 257,005,981,080/456,066.96
  6. Step 6: Final answer
    x = 563,526.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.