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Finding the Fourth Proportional to 410,625.84, 616,133.70 and 284,460.24

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Solution

The fourth proportional to 410,625.84, 616,133.70 and 284,460.24 is: 426,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,625.84 : 616,133.70 = 284,460.24 : x
  2. Step 2: Convert to fraction form
    410,625.84/616,133.70 = 284,460.24/x
  3. Step 3: Cross multiply
    410,625.84x = 616,133.70 × 284,460.24
  4. Step 4: Simplify right side
    410,625.84x = 175,265,540,174.09
  5. Step 5: Solve for x
    x = 175,265,540,174.09/410,625.84
  6. Step 6: Final answer
    x = 426,825.40

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1.5x scale

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.