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Finding the Fourth Proportional to 463,744.40, 695,227.80 and 242,128.40

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Solution

The fourth proportional to 463,744.40, 695,227.80 and 242,128.40 is: 362,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,744.40 : 695,227.80 = 242,128.40 : x
  2. Step 2: Convert to fraction form
    463,744.40/695,227.80 = 242,128.40/x
  3. Step 3: Cross multiply
    463,744.40x = 695,227.80 × 242,128.40
  4. Step 4: Simplify right side
    463,744.40x = 168,334,394,849.52
  5. Step 5: Solve for x
    x = 168,334,394,849.52/463,744.40
  6. Step 6: Final answer
    x = 362,989.60

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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.