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Finding the Fourth Proportional to 469,816.42, 648,347.06 and 254,956.48

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Solution

The fourth proportional to 469,816.42, 648,347.06 and 254,956.48 is: 351,840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,816.42 : 648,347.06 = 254,956.48 : x
  2. Step 2: Convert to fraction form
    469,816.42/648,347.06 = 254,956.48/x
  3. Step 3: Cross multiply
    469,816.42x = 648,347.06 × 254,956.48
  4. Step 4: Simplify right side
    469,816.42x = 165,300,284,235.95
  5. Step 5: Solve for x
    x = 165,300,284,235.95/469,816.42
  6. Step 6: Final answer
    x = 351,840.16

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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.