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Finding the Fourth Proportional to 406,942.40, 610,471.20 and 126,430.40

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Solution

The fourth proportional to 406,942.40, 610,471.20 and 126,430.40 is: 189,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,942.40 : 610,471.20 = 126,430.40 : x
  2. Step 2: Convert to fraction form
    406,942.40/610,471.20 = 126,430.40/x
  3. Step 3: Cross multiply
    406,942.40x = 610,471.20 × 126,430.40
  4. Step 4: Simplify right side
    406,942.40x = 77,182,118,004.48
  5. Step 5: Solve for x
    x = 77,182,118,004.48/406,942.40
  6. Step 6: Final answer
    x = 189,663.50

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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.