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Finding the Fourth Proportional to 408,126.84, 609,104.01 and 397,498.02

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Solution

The fourth proportional to 408,126.84, 609,104.01 and 397,498.02 is: 593,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,126.84 : 609,104.01 = 397,498.02 : x
  2. Step 2: Convert to fraction form
    408,126.84/609,104.01 = 397,498.02/x
  3. Step 3: Cross multiply
    408,126.84x = 609,104.01 × 397,498.02
  4. Step 4: Simplify right side
    408,126.84x = 242,117,637,949.06
  5. Step 5: Solve for x
    x = 242,117,637,949.06/408,126.84
  6. Step 6: Final answer
    x = 593,241.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.