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Finding the Fourth Proportional to 406,137.84, 560,765.88 and 326,006.16

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Solution

The fourth proportional to 406,137.84, 560,765.88 and 326,006.16 is: 450,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,137.84 : 560,765.88 = 326,006.16 : x
  2. Step 2: Convert to fraction form
    406,137.84/560,765.88 = 326,006.16/x
  3. Step 3: Cross multiply
    406,137.84x = 560,765.88 × 326,006.16
  4. Step 4: Simplify right side
    406,137.84x = 182,813,131,197.82
  5. Step 5: Solve for x
    x = 182,813,131,197.82/406,137.84
  6. Step 6: Final answer
    x = 450,125.83

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1.5x scale

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.