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Finding the Fourth Proportional to 406,774.40, 610,161.60 and 238,229.60

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Solution

The fourth proportional to 406,774.40, 610,161.60 and 238,229.60 is: 357,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,774.40 : 610,161.60 = 238,229.60 : x
  2. Step 2: Convert to fraction form
    406,774.40/610,161.60 = 238,229.60/x
  3. Step 3: Cross multiply
    406,774.40x = 610,161.60 × 238,229.60
  4. Step 4: Simplify right side
    406,774.40x = 145,358,553,903.36
  5. Step 5: Solve for x
    x = 145,358,553,903.36/406,774.40
  6. Step 6: Final answer
    x = 357,344.40

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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.