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Finding the Fourth Proportional to 406,421.44, 560,813.44 and 234,337.60

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Solution

The fourth proportional to 406,421.44, 560,813.44 and 234,337.60 is: 323,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,421.44 : 560,813.44 = 234,337.60 : x
  2. Step 2: Convert to fraction form
    406,421.44/560,813.44 = 234,337.60/x
  3. Step 3: Cross multiply
    406,421.44x = 560,813.44 × 234,337.60
  4. Step 4: Simplify right side
    406,421.44x = 131,419,675,577.34
  5. Step 5: Solve for x
    x = 131,419,675,577.34/406,421.44
  6. Step 6: Final answer
    x = 323,358.13

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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.