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Finding the Fourth Proportional to 438,367.40, 657,356.70 and 201,782.60

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Solution

The fourth proportional to 438,367.40, 657,356.70 and 201,782.60 is: 302,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,367.40 : 657,356.70 = 201,782.60 : x
  2. Step 2: Convert to fraction form
    438,367.40/657,356.70 = 201,782.60/x
  3. Step 3: Cross multiply
    438,367.40x = 657,356.70 × 201,782.60
  4. Step 4: Simplify right side
    438,367.40x = 132,643,144,053.42
  5. Step 5: Solve for x
    x = 132,643,144,053.42/438,367.40
  6. Step 6: Final answer
    x = 302,584.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.