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Finding the Fourth Proportional to 406,850, 610,275.12 and 126,367.28

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Solution

The fourth proportional to 406,850, 610,275.12 and 126,367.28 is: 189,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,850 : 610,275.12 = 126,367.28 : x
  2. Step 2: Convert to fraction form
    406,850/610,275.12 = 126,367.28/x
  3. Step 3: Cross multiply
    406,850x = 610,275.12 × 126,367.28
  4. Step 4: Simplify right side
    406,850x = 77,118,806,966.07
  5. Step 5: Solve for x
    x = 77,118,806,966.07/406,850
  6. Step 6: Final answer
    x = 189,550.96

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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.