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Finding the Fourth Proportional to 406,601.36, 561,113.16 and 225,316.31

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Solution

The fourth proportional to 406,601.36, 561,113.16 and 225,316.31 is: 310,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,601.36 : 561,113.16 = 225,316.31 : x
  2. Step 2: Convert to fraction form
    406,601.36/561,113.16 = 225,316.31/x
  3. Step 3: Cross multiply
    406,601.36x = 561,113.16 × 225,316.31
  4. Step 4: Simplify right side
    406,601.36x = 126,427,943,898.07
  5. Step 5: Solve for x
    x = 126,427,943,898.07/406,601.36
  6. Step 6: Final answer
    x = 310,938.32

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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.