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Finding the Fourth Proportional to 469,646.42, 648,112.32 and 254,786.46

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Solution

The fourth proportional to 469,646.42, 648,112.32 and 254,786.46 is: 351,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,646.42 : 648,112.32 = 254,786.46 : x
  2. Step 2: Convert to fraction form
    469,646.42/648,112.32 = 254,786.46/x
  3. Step 3: Cross multiply
    469,646.42x = 648,112.32 × 254,786.46
  4. Step 4: Simplify right side
    469,646.42x = 165,130,243,695.19
  5. Step 5: Solve for x
    x = 165,130,243,695.19/469,646.42
  6. Step 6: Final answer
    x = 351,605.46

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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.