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Finding the Fourth Proportional to 457,968.81, 632,072.65 and 254,085.40

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Solution

The fourth proportional to 457,968.81, 632,072.65 and 254,085.40 is: 350,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,968.81 : 632,072.65 = 254,085.40 : x
  2. Step 2: Convert to fraction form
    457,968.81/632,072.65 = 254,085.40/x
  3. Step 3: Cross multiply
    457,968.81x = 632,072.65 × 254,085.40
  4. Step 4: Simplify right side
    457,968.81x = 160,600,429,888.92
  5. Step 5: Solve for x
    x = 160,600,429,888.92/457,968.81
  6. Step 6: Final answer
    x = 350,679.84

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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.