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Finding the Fourth Proportional to 457,970.82, 632,075.40 and 254,087.40

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Solution

The fourth proportional to 457,970.82, 632,075.40 and 254,087.40 is: 350,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,970.82 : 632,075.40 = 254,087.40 : x
  2. Step 2: Convert to fraction form
    457,970.82/632,075.40 = 254,087.40/x
  3. Step 3: Cross multiply
    457,970.82x = 632,075.40 × 254,087.40
  4. Step 4: Simplify right side
    457,970.82x = 160,602,394,989.96
  5. Step 5: Solve for x
    x = 160,602,394,989.96/457,970.82
  6. Step 6: Final answer
    x = 350,682.59

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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.