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Finding the Fourth Proportional to 406,504.55, 560,961.38 and 234,429.77

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Solution

The fourth proportional to 406,504.55, 560,961.38 and 234,429.77 is: 323,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,504.55 : 560,961.38 = 234,429.77 : x
  2. Step 2: Convert to fraction form
    406,504.55/560,961.38 = 234,429.77/x
  3. Step 3: Cross multiply
    406,504.55x = 560,961.38 × 234,429.77
  4. Step 4: Simplify right side
    406,504.55x = 131,506,043,315.33
  5. Step 5: Solve for x
    x = 131,506,043,315.33/406,504.55
  6. Step 6: Final answer
    x = 323,504.48

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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.