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Finding the Fourth Proportional to 406,435.25, 560,766.11 and 234,339.68

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Solution

The fourth proportional to 406,435.25, 560,766.11 and 234,339.68 is: 323,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,435.25 : 560,766.11 = 234,339.68 : x
  2. Step 2: Convert to fraction form
    406,435.25/560,766.11 = 234,339.68/x
  3. Step 3: Cross multiply
    406,435.25x = 560,766.11 × 234,339.68
  4. Step 4: Simplify right side
    406,435.25x = 131,409,751,002.46
  5. Step 5: Solve for x
    x = 131,409,751,002.46/406,435.25
  6. Step 6: Final answer
    x = 323,322.72

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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.